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Finding the Fourth Proportional to 431,461.68, 647,484.12 and 150,981.36

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Solution

The fourth proportional to 431,461.68, 647,484.12 and 150,981.36 is: 226,574.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,461.68 : 647,484.12 = 150,981.36 : x
  2. Step 2: Convert to fraction form
    431,461.68/647,484.12 = 150,981.36/x
  3. Step 3: Cross multiply
    431,461.68x = 647,484.12 × 150,981.36
  4. Step 4: Simplify right side
    431,461.68x = 97,758,033,016.00
  5. Step 5: Solve for x
    x = 97,758,033,016.00/431,461.68
  6. Step 6: Final answer
    x = 226,574.08

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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.