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Finding the Fourth Proportional to 450,794.46, 676,869.05 and 429,127.37

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Solution

The fourth proportional to 450,794.46, 676,869.05 and 429,127.37 is: 644,335.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,794.46 : 676,869.05 = 429,127.37 : x
  2. Step 2: Convert to fraction form
    450,794.46/676,869.05 = 429,127.37/x
  3. Step 3: Cross multiply
    450,794.46x = 676,869.05 × 429,127.37
  4. Step 4: Simplify right side
    450,794.46x = 290,463,035,260.90
  5. Step 5: Solve for x
    x = 290,463,035,260.90/450,794.46
  6. Step 6: Final answer
    x = 644,335.86

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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.