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Finding the Fourth Proportional to 312,463.49, 431,226.16 and 176,522.38

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Solution

The fourth proportional to 312,463.49, 431,226.16 and 176,522.38 is: 243,615.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,463.49 : 431,226.16 = 176,522.38 : x
  2. Step 2: Convert to fraction form
    312,463.49/431,226.16 = 176,522.38/x
  3. Step 3: Cross multiply
    312,463.49x = 431,226.16 × 176,522.38
  4. Step 4: Simplify right side
    312,463.49x = 76,121,068,987.74
  5. Step 5: Solve for x
    x = 76,121,068,987.74/312,463.49
  6. Step 6: Final answer
    x = 243,615.89

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1.5x scale

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.