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Finding the Fourth Proportional to 257,412.80, 386,119.20 and 139,314.80

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Solution

The fourth proportional to 257,412.80, 386,119.20 and 139,314.80 is: 208,972.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,412.80 : 386,119.20 = 139,314.80 : x
  2. Step 2: Convert to fraction form
    257,412.80/386,119.20 = 139,314.80/x
  3. Step 3: Cross multiply
    257,412.80x = 386,119.20 × 139,314.80
  4. Step 4: Simplify right side
    257,412.80x = 53,792,119,124.16
  5. Step 5: Solve for x
    x = 53,792,119,124.16/257,412.80
  6. Step 6: Final answer
    x = 208,972.20

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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.