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Finding the Fourth Proportional to 319,017.92, 478,132.80 and 161,291.36

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Solution

The fourth proportional to 319,017.92, 478,132.80 and 161,291.36 is: 241,737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,017.92 : 478,132.80 = 161,291.36 : x
  2. Step 2: Convert to fraction form
    319,017.92/478,132.80 = 161,291.36/x
  3. Step 3: Cross multiply
    319,017.92x = 478,132.80 × 161,291.36
  4. Step 4: Simplify right side
    319,017.92x = 77,118,689,572.61
  5. Step 5: Solve for x
    x = 77,118,689,572.61/319,017.92
  6. Step 6: Final answer
    x = 241,737.80

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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.