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Finding the Fourth Proportional to 515,379, 711,300.78 and 314,291.64

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Solution

The fourth proportional to 515,379, 711,300.78 and 314,291.64 is: 433,769.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,379 : 711,300.78 = 314,291.64 : x
  2. Step 2: Convert to fraction form
    515,379/711,300.78 = 314,291.64/x
  3. Step 3: Cross multiply
    515,379x = 711,300.78 × 314,291.64
  4. Step 4: Simplify right side
    515,379x = 223,555,888,679.48
  5. Step 5: Solve for x
    x = 223,555,888,679.48/515,379
  6. Step 6: Final answer
    x = 433,769.88

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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.