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Finding the Fourth Proportional to 285,101.40, 427,747.10 and 95,580.50

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Solution

The fourth proportional to 285,101.40, 427,747.10 and 95,580.50 is: 143,402.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,101.40 : 427,747.10 = 95,580.50 : x
  2. Step 2: Convert to fraction form
    285,101.40/427,747.10 = 95,580.50/x
  3. Step 3: Cross multiply
    285,101.40x = 427,747.10 × 95,580.50
  4. Step 4: Simplify right side
    285,101.40x = 40,884,281,691.55
  5. Step 5: Solve for x
    x = 40,884,281,691.55/285,101.40
  6. Step 6: Final answer
    x = 143,402.60

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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.