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Finding the Fourth Proportional to 435,590.50, 653,410.38 and 155,107.78

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Solution

The fourth proportional to 435,590.50, 653,410.38 and 155,107.78 is: 232,670.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,590.50 : 653,410.38 = 155,107.78 : x
  2. Step 2: Convert to fraction form
    435,590.50/653,410.38 = 155,107.78/x
  3. Step 3: Cross multiply
    435,590.50x = 653,410.38 × 155,107.78
  4. Step 4: Simplify right side
    435,590.50x = 101,349,033,470.76
  5. Step 5: Solve for x
    x = 101,349,033,470.76/435,590.50
  6. Step 6: Final answer
    x = 232,670.44

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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.