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Finding the Fourth Proportional to 461,264, 636,214.08 and 299,817.92

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Solution

The fourth proportional to 461,264, 636,214.08 and 299,817.92 is: 413,534.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,264 : 636,214.08 = 299,817.92 : x
  2. Step 2: Convert to fraction form
    461,264/636,214.08 = 299,817.92/x
  3. Step 3: Cross multiply
    461,264x = 636,214.08 × 299,817.92
  4. Step 4: Simplify right side
    461,264x = 190,748,382,140.31
  5. Step 5: Solve for x
    x = 190,748,382,140.31/461,264
  6. Step 6: Final answer
    x = 413,534.08

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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.