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Finding the Fourth Proportional to 431,912.84, 647,875.02 and 151,438.28

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Solution

The fourth proportional to 431,912.84, 647,875.02 and 151,438.28 is: 227,159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,912.84 : 647,875.02 = 151,438.28 : x
  2. Step 2: Convert to fraction form
    431,912.84/647,875.02 = 151,438.28/x
  3. Step 3: Cross multiply
    431,912.84x = 647,875.02 × 151,438.28
  4. Step 4: Simplify right side
    431,912.84x = 98,113,078,683.77
  5. Step 5: Solve for x
    x = 98,113,078,683.77/431,912.84
  6. Step 6: Final answer
    x = 227,159.44

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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.