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Finding the Fourth Proportional to 782,154, 1,079,372.52 and 424,458

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Solution

The fourth proportional to 782,154, 1,079,372.52 and 424,458 is: 585,752.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,154 : 1,079,372.52 = 424,458 : x
  2. Step 2: Convert to fraction form
    782,154/1,079,372.52 = 424,458/x
  3. Step 3: Cross multiply
    782,154x = 1,079,372.52 × 424,458
  4. Step 4: Simplify right side
    782,154x = 458,148,301,094.16
  5. Step 5: Solve for x
    x = 458,148,301,094.16/782,154
  6. Step 6: Final answer
    x = 585,752.04

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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.