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Finding the Fourth Proportional to 257,487.16, 386,337.42 and 139,019.26

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Solution

The fourth proportional to 257,487.16, 386,337.42 and 139,019.26 is: 208,586.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,487.16 : 386,337.42 = 139,019.26 : x
  2. Step 2: Convert to fraction form
    257,487.16/386,337.42 = 139,019.26/x
  3. Step 3: Cross multiply
    257,487.16x = 386,337.42 × 139,019.26
  4. Step 4: Simplify right side
    257,487.16x = 53,708,342,238.71
  5. Step 5: Solve for x
    x = 53,708,342,238.71/257,487.16
  6. Step 6: Final answer
    x = 208,586.49

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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.