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Finding the Fourth Proportional to 425,416.04, 638,101.02 and 129,905

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Solution

The fourth proportional to 425,416.04, 638,101.02 and 129,905 is: 194,850.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,416.04 : 638,101.02 = 129,905 : x
  2. Step 2: Convert to fraction form
    425,416.04/638,101.02 = 129,905/x
  3. Step 3: Cross multiply
    425,416.04x = 638,101.02 × 129,905
  4. Step 4: Simplify right side
    425,416.04x = 82,892,513,003.10
  5. Step 5: Solve for x
    x = 82,892,513,003.10/425,416.04
  6. Step 6: Final answer
    x = 194,850.46

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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.