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Finding the Fourth Proportional to 649,334.08, 895,819.02 and 431,648.02

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Solution

The fourth proportional to 649,334.08, 895,819.02 and 431,648.02 is: 595,500.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,334.08 : 895,819.02 = 431,648.02 : x
  2. Step 2: Convert to fraction form
    649,334.08/895,819.02 = 431,648.02/x
  3. Step 3: Cross multiply
    649,334.08x = 895,819.02 × 431,648.02
  4. Step 4: Simplify right side
    649,334.08x = 386,678,506,261.34
  5. Step 5: Solve for x
    x = 386,678,506,261.34/649,334.08
  6. Step 6: Final answer
    x = 595,500.09

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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.