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Finding the Fourth Proportional to 299,482.24, 413,279.40 and 172,156.72

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Solution

The fourth proportional to 299,482.24, 413,279.40 and 172,156.72 is: 237,572.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,482.24 : 413,279.40 = 172,156.72 : x
  2. Step 2: Convert to fraction form
    299,482.24/413,279.40 = 172,156.72/x
  3. Step 3: Cross multiply
    299,482.24x = 413,279.40 × 172,156.72
  4. Step 4: Simplify right side
    299,482.24x = 71,148,825,947.57
  5. Step 5: Solve for x
    x = 71,148,825,947.57/299,482.24
  6. Step 6: Final answer
    x = 237,572.77

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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.