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Finding the Fourth Proportional to 400,175.74, 551,702.10 and 256,686.68

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Solution

The fourth proportional to 400,175.74, 551,702.10 and 256,686.68 is: 353,880.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,175.74 : 551,702.10 = 256,686.68 : x
  2. Step 2: Convert to fraction form
    400,175.74/551,702.10 = 256,686.68/x
  3. Step 3: Cross multiply
    400,175.74x = 551,702.10 × 256,686.68
  4. Step 4: Simplify right side
    400,175.74x = 141,614,580,398.03
  5. Step 5: Solve for x
    x = 141,614,580,398.03/400,175.74
  6. Step 6: Final answer
    x = 353,880.97

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1.5x scale

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.