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Finding the Fourth Proportional to 551,013.12, 760,371.84 and 309,265.92

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Solution

The fourth proportional to 551,013.12, 760,371.84 and 309,265.92 is: 426,772.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,013.12 : 760,371.84 = 309,265.92 : x
  2. Step 2: Convert to fraction form
    551,013.12/760,371.84 = 309,265.92/x
  3. Step 3: Cross multiply
    551,013.12x = 760,371.84 × 309,265.92
  4. Step 4: Simplify right side
    551,013.12x = 235,157,096,639.69
  5. Step 5: Solve for x
    x = 235,157,096,639.69/551,013.12
  6. Step 6: Final answer
    x = 426,772.23

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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.