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Finding the Fourth Proportional to 485,406.29, 728,143.16 and 148,421.03

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Solution

The fourth proportional to 485,406.29, 728,143.16 and 148,421.03 is: 222,641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,406.29 : 728,143.16 = 148,421.03 : x
  2. Step 2: Convert to fraction form
    485,406.29/728,143.16 = 148,421.03/x
  3. Step 3: Cross multiply
    485,406.29x = 728,143.16 × 148,421.03
  4. Step 4: Simplify right side
    485,406.29x = 108,071,753,411.83
  5. Step 5: Solve for x
    x = 108,071,753,411.83/485,406.29
  6. Step 6: Final answer
    x = 222,641.85

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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.