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Finding the Fourth Proportional to 431,637.12, 647,746.56 and 151,156.80

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Solution

The fourth proportional to 431,637.12, 647,746.56 and 151,156.80 is: 226,837.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,637.12 : 647,746.56 = 151,156.80 : x
  2. Step 2: Convert to fraction form
    431,637.12/647,746.56 = 151,156.80/x
  3. Step 3: Cross multiply
    431,637.12x = 647,746.56 × 151,156.80
  4. Step 4: Simplify right side
    431,637.12x = 97,911,297,220.61
  5. Step 5: Solve for x
    x = 97,911,297,220.61/431,637.12
  6. Step 6: Final answer
    x = 226,837.06

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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.