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Finding the Fourth Proportional to 257,413.30, 385,725.21 and 117,007.90

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Solution

The fourth proportional to 257,413.30, 385,725.21 and 117,007.90 is: 175,332.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,413.30 : 385,725.21 = 117,007.90 : x
  2. Step 2: Convert to fraction form
    257,413.30/385,725.21 = 117,007.90/x
  3. Step 3: Cross multiply
    257,413.30x = 385,725.21 × 117,007.90
  4. Step 4: Simplify right side
    257,413.30x = 45,132,896,799.16
  5. Step 5: Solve for x
    x = 45,132,896,799.16/257,413.30
  6. Step 6: Final answer
    x = 175,332.42

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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.