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Finding the Fourth Proportional to 305,341.60, 457,924.72 and 102,915.52

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Solution

The fourth proportional to 305,341.60, 457,924.72 and 102,915.52 is: 154,343.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,341.60 : 457,924.72 = 102,915.52 : x
  2. Step 2: Convert to fraction form
    305,341.60/457,924.72 = 102,915.52/x
  3. Step 3: Cross multiply
    305,341.60x = 457,924.72 × 102,915.52
  4. Step 4: Simplify right side
    305,341.60x = 47,127,560,679.65
  5. Step 5: Solve for x
    x = 47,127,560,679.65/305,341.60
  6. Step 6: Final answer
    x = 154,343.73

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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.