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Finding the Fourth Proportional to 431,143.20, 646,714.80 and 368,935.20

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Solution

The fourth proportional to 431,143.20, 646,714.80 and 368,935.20 is: 553,402.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,143.20 : 646,714.80 = 368,935.20 : x
  2. Step 2: Convert to fraction form
    431,143.20/646,714.80 = 368,935.20/x
  3. Step 3: Cross multiply
    431,143.20x = 646,714.80 × 368,935.20
  4. Step 4: Simplify right side
    431,143.20x = 238,595,854,080.96
  5. Step 5: Solve for x
    x = 238,595,854,080.96/431,143.20
  6. Step 6: Final answer
    x = 553,402.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.