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Finding the Fourth Proportional to 493,981.52, 740,894.70 and 156,977.78

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Solution

The fourth proportional to 493,981.52, 740,894.70 and 156,977.78 is: 235,442.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,981.52 : 740,894.70 = 156,977.78 : x
  2. Step 2: Convert to fraction form
    493,981.52/740,894.70 = 156,977.78/x
  3. Step 3: Cross multiply
    493,981.52x = 740,894.70 × 156,977.78
  4. Step 4: Simplify right side
    493,981.52x = 116,304,005,219.77
  5. Step 5: Solve for x
    x = 116,304,005,219.77/493,981.52
  6. Step 6: Final answer
    x = 235,442.02

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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.