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Finding the Fourth Proportional to 257,881.86, 386,821.71 and 145,510.92

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Solution

The fourth proportional to 257,881.86, 386,821.71 and 145,510.92 is: 218,265.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,881.86 : 386,821.71 = 145,510.92 : x
  2. Step 2: Convert to fraction form
    257,881.86/386,821.71 = 145,510.92/x
  3. Step 3: Cross multiply
    257,881.86x = 386,821.71 × 145,510.92
  4. Step 4: Simplify right side
    257,881.86x = 56,286,782,898.07
  5. Step 5: Solve for x
    x = 56,286,782,898.07/257,881.86
  6. Step 6: Final answer
    x = 218,265.77

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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.