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Finding the Fourth Proportional to 299,288.61, 413,089.20 and 172,038.15

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Solution

The fourth proportional to 299,288.61, 413,089.20 and 172,038.15 is: 237,453.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,288.61 : 413,089.20 = 172,038.15 : x
  2. Step 2: Convert to fraction form
    299,288.61/413,089.20 = 172,038.15/x
  3. Step 3: Cross multiply
    299,288.61x = 413,089.20 × 172,038.15
  4. Step 4: Simplify right side
    299,288.61x = 71,067,101,752.98
  5. Step 5: Solve for x
    x = 71,067,101,752.98/299,288.61
  6. Step 6: Final answer
    x = 237,453.41

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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.