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Finding the Fourth Proportional to 313,218.66, 432,242.01 and 169,978.71

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Solution

The fourth proportional to 313,218.66, 432,242.01 and 169,978.71 is: 234,570.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,218.66 : 432,242.01 = 169,978.71 : x
  2. Step 2: Convert to fraction form
    313,218.66/432,242.01 = 169,978.71/x
  3. Step 3: Cross multiply
    313,218.66x = 432,242.01 × 169,978.71
  4. Step 4: Simplify right side
    313,218.66x = 73,471,939,267.61
  5. Step 5: Solve for x
    x = 73,471,939,267.61/313,218.66
  6. Step 6: Final answer
    x = 234,570.76

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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.