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Finding the Fourth Proportional to 460,877.13, 636,013.08 and 256,941

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Solution

The fourth proportional to 460,877.13, 636,013.08 and 256,941 is: 354,580.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,877.13 : 636,013.08 = 256,941 : x
  2. Step 2: Convert to fraction form
    460,877.13/636,013.08 = 256,941/x
  3. Step 3: Cross multiply
    460,877.13x = 636,013.08 × 256,941
  4. Step 4: Simplify right side
    460,877.13x = 163,417,836,788.28
  5. Step 5: Solve for x
    x = 163,417,836,788.28/460,877.13
  6. Step 6: Final answer
    x = 354,580.05

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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.