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Finding the Fourth Proportional to 492,413.12, 738,473.88 and 137,341.52

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Solution

The fourth proportional to 492,413.12, 738,473.88 and 137,341.52 is: 205,971.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,413.12 : 738,473.88 = 137,341.52 : x
  2. Step 2: Convert to fraction form
    492,413.12/738,473.88 = 137,341.52/x
  3. Step 3: Cross multiply
    492,413.12x = 738,473.88 × 137,341.52
  4. Step 4: Simplify right side
    492,413.12x = 101,423,125,159.50
  5. Step 5: Solve for x
    x = 101,423,125,159.50/492,413.12
  6. Step 6: Final answer
    x = 205,971.61

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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.