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Finding the Fourth Proportional to 312,249.74, 430,915.82 and 176,307.84

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Solution

The fourth proportional to 312,249.74, 430,915.82 and 176,307.84 is: 243,311.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,249.74 : 430,915.82 = 176,307.84 : x
  2. Step 2: Convert to fraction form
    312,249.74/430,915.82 = 176,307.84/x
  3. Step 3: Cross multiply
    312,249.74x = 430,915.82 × 176,307.84
  4. Step 4: Simplify right side
    312,249.74x = 75,973,836,564.49
  5. Step 5: Solve for x
    x = 75,973,836,564.49/312,249.74
  6. Step 6: Final answer
    x = 243,311.13

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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.