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Finding the Fourth Proportional to 461,130.52, 636,361.25 and 257,194.65

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Solution

The fourth proportional to 461,130.52, 636,361.25 and 257,194.65 is: 354,929.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,130.52 : 636,361.25 = 257,194.65 : x
  2. Step 2: Convert to fraction form
    461,130.52/636,361.25 = 257,194.65/x
  3. Step 3: Cross multiply
    461,130.52x = 636,361.25 × 257,194.65
  4. Step 4: Simplify right side
    461,130.52x = 163,668,708,277.93
  5. Step 5: Solve for x
    x = 163,668,708,277.93/461,130.52
  6. Step 6: Final answer
    x = 354,929.25

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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.