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Finding the Fourth Proportional to 356,498.28, 534,834.97 and 103,780.98

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Solution

The fourth proportional to 356,498.28, 534,834.97 and 103,780.98 is: 155,696.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,498.28 : 534,834.97 = 103,780.98 : x
  2. Step 2: Convert to fraction form
    356,498.28/534,834.97 = 103,780.98/x
  3. Step 3: Cross multiply
    356,498.28x = 534,834.97 × 103,780.98
  4. Step 4: Simplify right side
    356,498.28x = 55,505,697,065.42
  5. Step 5: Solve for x
    x = 55,505,697,065.42/356,498.28
  6. Step 6: Final answer
    x = 155,696.96

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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.