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Finding the Fourth Proportional to 642,528.74, 963,668.49 and 243,200.66

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Solution

The fourth proportional to 642,528.74, 963,668.49 and 243,200.66 is: 364,753.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,528.74 : 963,668.49 = 243,200.66 : x
  2. Step 2: Convert to fraction form
    642,528.74/963,668.49 = 243,200.66/x
  3. Step 3: Cross multiply
    642,528.74x = 963,668.49 × 243,200.66
  4. Step 4: Simplify right side
    642,528.74x = 234,364,813,847.50
  5. Step 5: Solve for x
    x = 234,364,813,847.50/642,528.74
  6. Step 6: Final answer
    x = 364,753.82

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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.