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Finding the Fourth Proportional to 617,495.96, 924,749.02 and 427,423.76

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Solution

The fourth proportional to 617,495.96, 924,749.02 and 427,423.76 is: 640,100.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,495.96 : 924,749.02 = 427,423.76 : x
  2. Step 2: Convert to fraction form
    617,495.96/924,749.02 = 427,423.76/x
  3. Step 3: Cross multiply
    617,495.96x = 924,749.02 × 427,423.76
  4. Step 4: Simplify right side
    617,495.96x = 395,259,703,184.72
  5. Step 5: Solve for x
    x = 395,259,703,184.72/617,495.96
  6. Step 6: Final answer
    x = 640,100.87

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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.