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Finding the Fourth Proportional to 313,138, 432,117.84 and 169,892.56

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Solution

The fourth proportional to 313,138, 432,117.84 and 169,892.56 is: 234,444.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,138 : 432,117.84 = 169,892.56 : x
  2. Step 2: Convert to fraction form
    313,138/432,117.84 = 169,892.56/x
  3. Step 3: Cross multiply
    313,138x = 432,117.84 × 169,892.56
  4. Step 4: Simplify right side
    313,138x = 73,413,606,059.27
  5. Step 5: Solve for x
    x = 73,413,606,059.27/313,138
  6. Step 6: Final answer
    x = 234,444.90

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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.