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Finding the Fourth Proportional to 385,853.64, 532,662.84 and 257,006.52

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Solution

The fourth proportional to 385,853.64, 532,662.84 and 257,006.52 is: 354,792.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,853.64 : 532,662.84 = 257,006.52 : x
  2. Step 2: Convert to fraction form
    385,853.64/532,662.84 = 257,006.52/x
  3. Step 3: Cross multiply
    385,853.64x = 532,662.84 × 257,006.52
  4. Step 4: Simplify right side
    385,853.64x = 136,897,822,841.72
  5. Step 5: Solve for x
    x = 136,897,822,841.72/385,853.64
  6. Step 6: Final answer
    x = 354,792.10

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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.