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Finding the Fourth Proportional to 461,091.90, 636,294.15 and 257,149.02

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Solution

The fourth proportional to 461,091.90, 636,294.15 and 257,149.02 is: 354,858.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,091.90 : 636,294.15 = 257,149.02 : x
  2. Step 2: Convert to fraction form
    461,091.90/636,294.15 = 257,149.02/x
  3. Step 3: Cross multiply
    461,091.90x = 636,294.15 × 257,149.02
  4. Step 4: Simplify right side
    461,091.90x = 163,622,417,104.23
  5. Step 5: Solve for x
    x = 163,622,417,104.23/461,091.90
  6. Step 6: Final answer
    x = 354,858.58

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1.5x scale

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.