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Finding the Fourth Proportional to 547,107.70, 818,794.35 and 458,461.30

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Solution

The fourth proportional to 547,107.70, 818,794.35 and 458,461.30 is: 686,127.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,107.70 : 818,794.35 = 458,461.30 : x
  2. Step 2: Convert to fraction form
    547,107.70/818,794.35 = 458,461.30/x
  3. Step 3: Cross multiply
    547,107.70x = 818,794.35 × 458,461.30
  4. Step 4: Simplify right side
    547,107.70x = 375,385,522,133.66
  5. Step 5: Solve for x
    x = 375,385,522,133.66/547,107.70
  6. Step 6: Final answer
    x = 686,127.29

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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.