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Finding the Fourth Proportional to 297,715.30, 446,572.95 and 218,400.10

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Solution

The fourth proportional to 297,715.30, 446,572.95 and 218,400.10 is: 327,600.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,715.30 : 446,572.95 = 218,400.10 : x
  2. Step 2: Convert to fraction form
    297,715.30/446,572.95 = 218,400.10/x
  3. Step 3: Cross multiply
    297,715.30x = 446,572.95 × 218,400.10
  4. Step 4: Simplify right side
    297,715.30x = 97,531,576,937.30
  5. Step 5: Solve for x
    x = 97,531,576,937.30/297,715.30
  6. Step 6: Final answer
    x = 327,600.15

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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.