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Finding the Fourth Proportional to 908,053, 1,253,121.86 and 500,164.04

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Solution

The fourth proportional to 908,053, 1,253,121.86 and 500,164.04 is: 690,231.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,053 : 1,253,121.86 = 500,164.04 : x
  2. Step 2: Convert to fraction form
    908,053/1,253,121.86 = 500,164.04/x
  3. Step 3: Cross multiply
    908,053x = 1,253,121.86 × 500,164.04
  4. Step 4: Simplify right side
    908,053x = 626,766,492,109.91
  5. Step 5: Solve for x
    x = 626,766,492,109.91/908,053
  6. Step 6: Final answer
    x = 690,231.18

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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.