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Finding the Fourth Proportional to 461,218.74, 636,482.82 and 257,264.43

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Solution

The fourth proportional to 461,218.74, 636,482.82 and 257,264.43 is: 355,025.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,218.74 : 636,482.82 = 257,264.43 : x
  2. Step 2: Convert to fraction form
    461,218.74/636,482.82 = 257,264.43/x
  3. Step 3: Cross multiply
    461,218.74x = 636,482.82 × 257,264.43
  4. Step 4: Simplify right side
    461,218.74x = 163,744,389,892.09
  5. Step 5: Solve for x
    x = 163,744,389,892.09/461,218.74
  6. Step 6: Final answer
    x = 355,025.45

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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.