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Finding the Fourth Proportional to 669,774.56, 924,320.96 and 411,662.72

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Solution

The fourth proportional to 669,774.56, 924,320.96 and 411,662.72 is: 568,114.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,774.56 : 924,320.96 = 411,662.72 : x
  2. Step 2: Convert to fraction form
    669,774.56/924,320.96 = 411,662.72/x
  3. Step 3: Cross multiply
    669,774.56x = 924,320.96 × 411,662.72
  4. Step 4: Simplify right side
    669,774.56x = 380,508,480,546.61
  5. Step 5: Solve for x
    x = 380,508,480,546.61/669,774.56
  6. Step 6: Final answer
    x = 568,114.26

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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.