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Finding the Fourth Proportional to 477,031.48, 657,909.14 and 323,817.85

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Solution

The fourth proportional to 477,031.48, 657,909.14 and 323,817.85 is: 446,600.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,031.48 : 657,909.14 = 323,817.85 : x
  2. Step 2: Convert to fraction form
    477,031.48/657,909.14 = 323,817.85/x
  3. Step 3: Cross multiply
    477,031.48x = 657,909.14 × 323,817.85
  4. Step 4: Simplify right side
    477,031.48x = 213,042,722,413.45
  5. Step 5: Solve for x
    x = 213,042,722,413.45/477,031.48
  6. Step 6: Final answer
    x = 446,600.97

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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.