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Finding the Fourth Proportional to 349,180.96, 524,001.12 and 191,520

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Solution

The fourth proportional to 349,180.96, 524,001.12 and 191,520 is: 287,405.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,180.96 : 524,001.12 = 191,520 : x
  2. Step 2: Convert to fraction form
    349,180.96/524,001.12 = 191,520/x
  3. Step 3: Cross multiply
    349,180.96x = 524,001.12 × 191,520
  4. Step 4: Simplify right side
    349,180.96x = 100,356,694,502.40
  5. Step 5: Solve for x
    x = 100,356,694,502.40/349,180.96
  6. Step 6: Final answer
    x = 287,405.98

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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.