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Finding the Fourth Proportional to 567,088.28, 782,581.40 and 312,439.47

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Solution

The fourth proportional to 567,088.28, 782,581.40 and 312,439.47 is: 431,166.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,088.28 : 782,581.40 = 312,439.47 : x
  2. Step 2: Convert to fraction form
    567,088.28/782,581.40 = 312,439.47/x
  3. Step 3: Cross multiply
    567,088.28x = 782,581.40 × 312,439.47
  4. Step 4: Simplify right side
    567,088.28x = 244,509,317,847.86
  5. Step 5: Solve for x
    x = 244,509,317,847.86/567,088.28
  6. Step 6: Final answer
    x = 431,166.23

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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.