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Finding the Fourth Proportional to 665,151.84, 997,468.80 and 215,763.96

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Solution

The fourth proportional to 665,151.84, 997,468.80 and 215,763.96 is: 323,561.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,151.84 : 997,468.80 = 215,763.96 : x
  2. Step 2: Convert to fraction form
    665,151.84/997,468.80 = 215,763.96/x
  3. Step 3: Cross multiply
    665,151.84x = 997,468.80 × 215,763.96
  4. Step 4: Simplify right side
    665,151.84x = 215,217,818,264.45
  5. Step 5: Solve for x
    x = 215,217,818,264.45/665,151.84
  6. Step 6: Final answer
    x = 323,561.94

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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.