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Finding the Fourth Proportional to 515,331.76, 711,165.16 and 311,354.32

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Solution

The fourth proportional to 515,331.76, 711,165.16 and 311,354.32 is: 429,673.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,331.76 : 711,165.16 = 311,354.32 : x
  2. Step 2: Convert to fraction form
    515,331.76/711,165.16 = 311,354.32/x
  3. Step 3: Cross multiply
    515,331.76x = 711,165.16 × 311,354.32
  4. Step 4: Simplify right side
    515,331.76x = 221,424,344,799.49
  5. Step 5: Solve for x
    x = 221,424,344,799.49/515,331.76
  6. Step 6: Final answer
    x = 429,673.39

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.