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Finding the Fourth Proportional to 208,756.38, 313,502.85 and 155,462.84

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Solution

The fourth proportional to 208,756.38, 313,502.85 and 155,462.84 is: 233,468.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,756.38 : 313,502.85 = 155,462.84 : x
  2. Step 2: Convert to fraction form
    208,756.38/313,502.85 = 155,462.84/x
  3. Step 3: Cross multiply
    208,756.38x = 313,502.85 × 155,462.84
  4. Step 4: Simplify right side
    208,756.38x = 48,738,041,841.58
  5. Step 5: Solve for x
    x = 48,738,041,841.58/208,756.38
  6. Step 6: Final answer
    x = 233,468.51

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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.