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Finding the Fourth Proportional to 313,211.06, 432,231.54 and 169,971.11

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Solution

The fourth proportional to 313,211.06, 432,231.54 and 169,971.11 is: 234,560.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,211.06 : 432,231.54 = 169,971.11 : x
  2. Step 2: Convert to fraction form
    313,211.06/432,231.54 = 169,971.11/x
  3. Step 3: Cross multiply
    313,211.06x = 432,231.54 × 169,971.11
  4. Step 4: Simplify right side
    313,211.06x = 73,466,874,630.81
  5. Step 5: Solve for x
    x = 73,466,874,630.81/313,211.06
  6. Step 6: Final answer
    x = 234,560.28

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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.