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Finding the Fourth Proportional to 313,125, 432,113.58 and 169,885.68

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Solution

The fourth proportional to 313,125, 432,113.58 and 169,885.68 is: 234,442.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,125 : 432,113.58 = 169,885.68 : x
  2. Step 2: Convert to fraction form
    313,125/432,113.58 = 169,885.68/x
  3. Step 3: Cross multiply
    313,125x = 432,113.58 × 169,885.68
  4. Step 4: Simplify right side
    313,125x = 73,409,909,375.53
  5. Step 5: Solve for x
    x = 73,409,909,375.53/313,125
  6. Step 6: Final answer
    x = 234,442.82

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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.