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Finding the Fourth Proportional to 400,634.07, 601,031.30 and 147,916.10

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Solution

The fourth proportional to 400,634.07, 601,031.30 and 147,916.10 is: 221,903.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,634.07 : 601,031.30 = 147,916.10 : x
  2. Step 2: Convert to fraction form
    400,634.07/601,031.30 = 147,916.10/x
  3. Step 3: Cross multiply
    400,634.07x = 601,031.30 × 147,916.10
  4. Step 4: Simplify right side
    400,634.07x = 88,902,205,873.93
  5. Step 5: Solve for x
    x = 88,902,205,873.93/400,634.07
  6. Step 6: Final answer
    x = 221,903.76

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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.