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Finding the Fourth Proportional to 642,475.45, 963,715.34 and 162,703

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Solution

The fourth proportional to 642,475.45, 963,715.34 and 162,703 is: 244,055.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,475.45 : 963,715.34 = 162,703 : x
  2. Step 2: Convert to fraction form
    642,475.45/963,715.34 = 162,703/x
  3. Step 3: Cross multiply
    642,475.45x = 963,715.34 × 162,703
  4. Step 4: Simplify right side
    642,475.45x = 156,799,376,964.02
  5. Step 5: Solve for x
    x = 156,799,376,964.02/642,475.45
  6. Step 6: Final answer
    x = 244,055.05

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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.