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Finding the Fourth Proportional to 460,990.90, 636,164.81 and 257,044.26

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Solution

The fourth proportional to 460,990.90, 636,164.81 and 257,044.26 is: 354,719.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,990.90 : 636,164.81 = 257,044.26 : x
  2. Step 2: Convert to fraction form
    460,990.90/636,164.81 = 257,044.26/x
  3. Step 3: Cross multiply
    460,990.90x = 636,164.81 × 257,044.26
  4. Step 4: Simplify right side
    460,990.90x = 163,522,513,822.53
  5. Step 5: Solve for x
    x = 163,522,513,822.53/460,990.90
  6. Step 6: Final answer
    x = 354,719.62

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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.