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Finding the Fourth Proportional to 430,872.84, 646,017.66 and 150,237

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Solution

The fourth proportional to 430,872.84, 646,017.66 and 150,237 is: 225,253.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,872.84 : 646,017.66 = 150,237 : x
  2. Step 2: Convert to fraction form
    430,872.84/646,017.66 = 150,237/x
  3. Step 3: Cross multiply
    430,872.84x = 646,017.66 × 150,237
  4. Step 4: Simplify right side
    430,872.84x = 97,055,755,185.42
  5. Step 5: Solve for x
    x = 97,055,755,185.42/430,872.84
  6. Step 6: Final answer
    x = 225,253.82

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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.