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Finding the Fourth Proportional to 312,758.72, 431,613.66 and 176,784.53

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Solution

The fourth proportional to 312,758.72, 431,613.66 and 176,784.53 is: 243,966.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,758.72 : 431,613.66 = 176,784.53 : x
  2. Step 2: Convert to fraction form
    312,758.72/431,613.66 = 176,784.53/x
  3. Step 3: Cross multiply
    312,758.72x = 431,613.66 × 176,784.53
  4. Step 4: Simplify right side
    312,758.72x = 76,302,616,529.55
  5. Step 5: Solve for x
    x = 76,302,616,529.55/312,758.72
  6. Step 6: Final answer
    x = 243,966.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.