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Finding the Fourth Proportional to 721,141, 1,079,497.14 and 453,649.06

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Solution

The fourth proportional to 721,141, 1,079,497.14 and 453,649.06 is: 679,080.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,141 : 1,079,497.14 = 453,649.06 : x
  2. Step 2: Convert to fraction form
    721,141/1,079,497.14 = 453,649.06/x
  3. Step 3: Cross multiply
    721,141x = 1,079,497.14 × 453,649.06
  4. Step 4: Simplify right side
    721,141x = 489,712,862,833.69
  5. Step 5: Solve for x
    x = 489,712,862,833.69/721,141
  6. Step 6: Final answer
    x = 679,080.60

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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.