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Finding the Fourth Proportional to 640,876.76, 962,146.18 and 429,000.20

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Solution

The fourth proportional to 640,876.76, 962,146.18 and 429,000.20 is: 644,056.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,876.76 : 962,146.18 = 429,000.20 : x
  2. Step 2: Convert to fraction form
    640,876.76/962,146.18 = 429,000.20/x
  3. Step 3: Cross multiply
    640,876.76x = 962,146.18 × 429,000.20
  4. Step 4: Simplify right side
    640,876.76x = 412,760,903,649.24
  5. Step 5: Solve for x
    x = 412,760,903,649.24/640,876.76
  6. Step 6: Final answer
    x = 644,056.59

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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.