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Finding the Fourth Proportional to 461,460.60, 636,814.56 and 257,499

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Solution

The fourth proportional to 461,460.60, 636,814.56 and 257,499 is: 355,348.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,460.60 : 636,814.56 = 257,499 : x
  2. Step 2: Convert to fraction form
    461,460.60/636,814.56 = 257,499/x
  3. Step 3: Cross multiply
    461,460.60x = 636,814.56 × 257,499
  4. Step 4: Simplify right side
    461,460.60x = 163,979,112,385.44
  5. Step 5: Solve for x
    x = 163,979,112,385.44/461,460.60
  6. Step 6: Final answer
    x = 355,348.02

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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.