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Finding the Fourth Proportional to 429,930.68, 644,897.52 and 130,413.84

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Solution

The fourth proportional to 429,930.68, 644,897.52 and 130,413.84 is: 195,621.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,930.68 : 644,897.52 = 130,413.84 : x
  2. Step 2: Convert to fraction form
    429,930.68/644,897.52 = 130,413.84/x
  3. Step 3: Cross multiply
    429,930.68x = 644,897.52 × 130,413.84
  4. Step 4: Simplify right side
    429,930.68x = 84,103,561,989.68
  5. Step 5: Solve for x
    x = 84,103,561,989.68/429,930.68
  6. Step 6: Final answer
    x = 195,621.22

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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.