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Finding the Fourth Proportional to 402,897.12, 604,359.12 and 122,413.44

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Solution

The fourth proportional to 402,897.12, 604,359.12 and 122,413.44 is: 183,624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,897.12 : 604,359.12 = 122,413.44 : x
  2. Step 2: Convert to fraction form
    402,897.12/604,359.12 = 122,413.44/x
  3. Step 3: Cross multiply
    402,897.12x = 604,359.12 × 122,413.44
  4. Step 4: Simplify right side
    402,897.12x = 73,981,678,874.57
  5. Step 5: Solve for x
    x = 73,981,678,874.57/402,897.12
  6. Step 6: Final answer
    x = 183,624.24

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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.