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Finding the Fourth Proportional to 288,427.84, 432,913.13 and 146,375.08

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Solution

The fourth proportional to 288,427.84, 432,913.13 and 146,375.08 is: 219,700.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,427.84 : 432,913.13 = 146,375.08 : x
  2. Step 2: Convert to fraction form
    288,427.84/432,913.13 = 146,375.08/x
  3. Step 3: Cross multiply
    288,427.84x = 432,913.13 × 146,375.08
  4. Step 4: Simplify right side
    288,427.84x = 63,367,694,036.80
  5. Step 5: Solve for x
    x = 63,367,694,036.80/288,427.84
  6. Step 6: Final answer
    x = 219,700.34

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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.