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Finding the Fourth Proportional to 499,062.64, 688,510.92 and 307,743.92

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Solution

The fourth proportional to 499,062.64, 688,510.92 and 307,743.92 is: 424,566.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,062.64 : 688,510.92 = 307,743.92 : x
  2. Step 2: Convert to fraction form
    499,062.64/688,510.92 = 307,743.92/x
  3. Step 3: Cross multiply
    499,062.64x = 688,510.92 × 307,743.92
  4. Step 4: Simplify right side
    499,062.64x = 211,885,049,483.61
  5. Step 5: Solve for x
    x = 211,885,049,483.61/499,062.64
  6. Step 6: Final answer
    x = 424,566.04

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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.