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Finding the Fourth Proportional to 642,358.77, 886,871.07 and 413,019.06

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Solution

The fourth proportional to 642,358.77, 886,871.07 and 413,019.06 is: 570,233.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,358.77 : 886,871.07 = 413,019.06 : x
  2. Step 2: Convert to fraction form
    642,358.77/886,871.07 = 413,019.06/x
  3. Step 3: Cross multiply
    642,358.77x = 886,871.07 × 413,019.06
  4. Step 4: Simplify right side
    642,358.77x = 366,294,655,672.59
  5. Step 5: Solve for x
    x = 366,294,655,672.59/642,358.77
  6. Step 6: Final answer
    x = 570,233.76

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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.