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Finding the Fourth Proportional to 566,014.96, 781,104.36 and 311,359.60

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Solution

The fourth proportional to 566,014.96, 781,104.36 and 311,359.60 is: 429,678.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,014.96 : 781,104.36 = 311,359.60 : x
  2. Step 2: Convert to fraction form
    566,014.96/781,104.36 = 311,359.60/x
  3. Step 3: Cross multiply
    566,014.96x = 781,104.36 × 311,359.60
  4. Step 4: Simplify right side
    566,014.96x = 243,204,341,087.86
  5. Step 5: Solve for x
    x = 243,204,341,087.86/566,014.96
  6. Step 6: Final answer
    x = 429,678.29

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Double scale
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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.