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Finding the Fourth Proportional to 460,159.80, 686,543.51 and 409,640.10

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Solution

The fourth proportional to 460,159.80, 686,543.51 and 409,640.10 is: 611,169.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,159.80 : 686,543.51 = 409,640.10 : x
  2. Step 2: Convert to fraction form
    460,159.80/686,543.51 = 409,640.10/x
  3. Step 3: Cross multiply
    460,159.80x = 686,543.51 × 409,640.10
  4. Step 4: Simplify right side
    460,159.80x = 281,235,750,042.55
  5. Step 5: Solve for x
    x = 281,235,750,042.55/460,159.80
  6. Step 6: Final answer
    x = 611,169.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.