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Finding the Fourth Proportional to 566,269.28, 781,451.73 and 311,620.47

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Solution

The fourth proportional to 566,269.28, 781,451.73 and 311,620.47 is: 430,036.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,269.28 : 781,451.73 = 311,620.47 : x
  2. Step 2: Convert to fraction form
    566,269.28/781,451.73 = 311,620.47/x
  3. Step 3: Cross multiply
    566,269.28x = 781,451.73 × 311,620.47
  4. Step 4: Simplify right side
    566,269.28x = 243,516,355,384.91
  5. Step 5: Solve for x
    x = 243,516,355,384.91/566,269.28
  6. Step 6: Final answer
    x = 430,036.32

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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.