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Finding the Fourth Proportional to 253,455.14, 349,753.14 and 138,711.15

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Solution

The fourth proportional to 253,455.14, 349,753.14 and 138,711.15 is: 191,413.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,455.14 : 349,753.14 = 138,711.15 : x
  2. Step 2: Convert to fraction form
    253,455.14/349,753.14 = 138,711.15/x
  3. Step 3: Cross multiply
    253,455.14x = 349,753.14 × 138,711.15
  4. Step 4: Simplify right side
    253,455.14x = 48,514,660,265.51
  5. Step 5: Solve for x
    x = 48,514,660,265.51/253,455.14
  6. Step 6: Final answer
    x = 191,413.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.