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Finding the Fourth Proportional to 713,455.76, 1,069,244.76 and 398,061.20

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Solution

The fourth proportional to 713,455.76, 1,069,244.76 and 398,061.20 is: 596,567.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,455.76 : 1,069,244.76 = 398,061.20 : x
  2. Step 2: Convert to fraction form
    713,455.76/1,069,244.76 = 398,061.20/x
  3. Step 3: Cross multiply
    713,455.76x = 1,069,244.76 × 398,061.20
  4. Step 4: Simplify right side
    713,455.76x = 425,624,852,259.31
  5. Step 5: Solve for x
    x = 425,624,852,259.31/713,455.76
  6. Step 6: Final answer
    x = 596,567.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.