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Finding the Fourth Proportional to 500,063.76, 689,951.52 and 285,125.40

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Solution

The fourth proportional to 500,063.76, 689,951.52 and 285,125.40 is: 393,395.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,063.76 : 689,951.52 = 285,125.40 : x
  2. Step 2: Convert to fraction form
    500,063.76/689,951.52 = 285,125.40/x
  3. Step 3: Cross multiply
    500,063.76x = 689,951.52 × 285,125.40
  4. Step 4: Simplify right side
    500,063.76x = 196,722,703,120.61
  5. Step 5: Solve for x
    x = 196,722,703,120.61/500,063.76
  6. Step 6: Final answer
    x = 393,395.24

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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.