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Finding the Fourth Proportional to 306,031.60, 458,828.70 and 137,413.90

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Solution

The fourth proportional to 306,031.60, 458,828.70 and 137,413.90 is: 206,022.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,031.60 : 458,828.70 = 137,413.90 : x
  2. Step 2: Convert to fraction form
    306,031.60/458,828.70 = 137,413.90/x
  3. Step 3: Cross multiply
    306,031.60x = 458,828.70 × 137,413.90
  4. Step 4: Simplify right side
    306,031.60x = 63,049,441,098.93
  5. Step 5: Solve for x
    x = 63,049,441,098.93/306,031.60
  6. Step 6: Final answer
    x = 206,022.65

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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.