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Finding the Fourth Proportional to 648,029.80, 970,343.70 and 457,461.10

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Solution

The fourth proportional to 648,029.80, 970,343.70 and 457,461.10 is: 684,990.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,029.80 : 970,343.70 = 457,461.10 : x
  2. Step 2: Convert to fraction form
    648,029.80/970,343.70 = 457,461.10/x
  3. Step 3: Cross multiply
    648,029.80x = 970,343.70 × 457,461.10
  4. Step 4: Simplify right side
    648,029.80x = 443,894,496,380.07
  5. Step 5: Solve for x
    x = 443,894,496,380.07/648,029.80
  6. Step 6: Final answer
    x = 684,990.87

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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.