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Finding the Fourth Proportional to 514,064.55, 709,487.43 and 320,503.66

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Solution

The fourth proportional to 514,064.55, 709,487.43 and 320,503.66 is: 442,343.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,064.55 : 709,487.43 = 320,503.66 : x
  2. Step 2: Convert to fraction form
    514,064.55/709,487.43 = 320,503.66/x
  3. Step 3: Cross multiply
    514,064.55x = 709,487.43 × 320,503.66
  4. Step 4: Simplify right side
    514,064.55x = 227,393,318,038.99
  5. Step 5: Solve for x
    x = 227,393,318,038.99/514,064.55
  6. Step 6: Final answer
    x = 442,343.90

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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.