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Finding the Fourth Proportional to 313,218, 432,241.14 and 169,978.07

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Solution

The fourth proportional to 313,218, 432,241.14 and 169,978.07 is: 234,569.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,218 : 432,241.14 = 169,978.07 : x
  2. Step 2: Convert to fraction form
    313,218/432,241.14 = 169,978.07/x
  3. Step 3: Cross multiply
    313,218x = 432,241.14 × 169,978.07
  4. Step 4: Simplify right side
    313,218x = 73,471,516,469.82
  5. Step 5: Solve for x
    x = 73,471,516,469.82/313,218
  6. Step 6: Final answer
    x = 234,569.90

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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.