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Finding the Fourth Proportional to 469,252.79, 647,224.89 and 308,049.02

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Solution

The fourth proportional to 469,252.79, 647,224.89 and 308,049.02 is: 424,881.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,252.79 : 647,224.89 = 308,049.02 : x
  2. Step 2: Convert to fraction form
    469,252.79/647,224.89 = 308,049.02/x
  3. Step 3: Cross multiply
    469,252.79x = 647,224.89 × 308,049.02
  4. Step 4: Simplify right side
    469,252.79x = 199,376,991,543.86
  5. Step 5: Solve for x
    x = 199,376,991,543.86/469,252.79
  6. Step 6: Final answer
    x = 424,881.85

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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.