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Finding the Fourth Proportional to 514,926.70, 710,623.20 and 321,449.02

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Solution

The fourth proportional to 514,926.70, 710,623.20 and 321,449.02 is: 443,614.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,926.70 : 710,623.20 = 321,449.02 : x
  2. Step 2: Convert to fraction form
    514,926.70/710,623.20 = 321,449.02/x
  3. Step 3: Cross multiply
    514,926.70x = 710,623.20 × 321,449.02
  4. Step 4: Simplify right side
    514,926.70x = 228,429,131,229.26
  5. Step 5: Solve for x
    x = 228,429,131,229.26/514,926.70
  6. Step 6: Final answer
    x = 443,614.85

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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.