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Finding the Fourth Proportional to 411,091.12, 567,397.20 and 249,912

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Solution

The fourth proportional to 411,091.12, 567,397.20 and 249,912 is: 344,934.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,091.12 : 567,397.20 = 249,912 : x
  2. Step 2: Convert to fraction form
    411,091.12/567,397.20 = 249,912/x
  3. Step 3: Cross multiply
    411,091.12x = 567,397.20 × 249,912
  4. Step 4: Simplify right side
    411,091.12x = 141,799,369,046.40
  5. Step 5: Solve for x
    x = 141,799,369,046.40/411,091.12
  6. Step 6: Final answer
    x = 344,934.16

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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.