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Finding the Fourth Proportional to 461,078.40, 636,275.52 and 257,135.52

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Solution

The fourth proportional to 461,078.40, 636,275.52 and 257,135.52 is: 354,839.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,078.40 : 636,275.52 = 257,135.52 : x
  2. Step 2: Convert to fraction form
    461,078.40/636,275.52 = 257,135.52/x
  3. Step 3: Cross multiply
    461,078.40x = 636,275.52 × 257,135.52
  4. Step 4: Simplify right side
    461,078.40x = 163,609,036,698.47
  5. Step 5: Solve for x
    x = 163,609,036,698.47/461,078.40
  6. Step 6: Final answer
    x = 354,839.95

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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.