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Finding the Fourth Proportional to 499,053.56, 688,498.62 and 307,734.80

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Solution

The fourth proportional to 499,053.56, 688,498.62 and 307,734.80 is: 424,553.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,053.56 : 688,498.62 = 307,734.80 : x
  2. Step 2: Convert to fraction form
    499,053.56/688,498.62 = 307,734.80/x
  3. Step 3: Cross multiply
    499,053.56x = 688,498.62 × 307,734.80
  4. Step 4: Simplify right side
    499,053.56x = 211,874,985,125.98
  5. Step 5: Solve for x
    x = 211,874,985,125.98/499,053.56
  6. Step 6: Final answer
    x = 424,553.60

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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.