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Finding the Fourth Proportional to 312,560.84, 431,334.16 and 169,321.46

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Solution

The fourth proportional to 312,560.84, 431,334.16 and 169,321.46 is: 233,663.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,560.84 : 431,334.16 = 169,321.46 : x
  2. Step 2: Convert to fraction form
    312,560.84/431,334.16 = 169,321.46/x
  3. Step 3: Cross multiply
    312,560.84x = 431,334.16 × 169,321.46
  4. Step 4: Simplify right side
    312,560.84x = 73,034,128,091.53
  5. Step 5: Solve for x
    x = 73,034,128,091.53/312,560.84
  6. Step 6: Final answer
    x = 233,663.72

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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.