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Finding the Fourth Proportional to 502,072.20, 752,870.70 and 291,774.60

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Solution

The fourth proportional to 502,072.20, 752,870.70 and 291,774.60 is: 437,523.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,072.20 : 752,870.70 = 291,774.60 : x
  2. Step 2: Convert to fraction form
    502,072.20/752,870.70 = 291,774.60/x
  3. Step 3: Cross multiply
    502,072.20x = 752,870.70 × 291,774.60
  4. Step 4: Simplify right side
    502,072.20x = 219,668,547,344.22
  5. Step 5: Solve for x
    x = 219,668,547,344.22/502,072.20
  6. Step 6: Final answer
    x = 437,523.82

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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.