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Finding the Fourth Proportional to 297,612.16, 410,707.76 and 161,648.76

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Solution

The fourth proportional to 297,612.16, 410,707.76 and 161,648.76 is: 223,076.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,612.16 : 410,707.76 = 161,648.76 : x
  2. Step 2: Convert to fraction form
    297,612.16/410,707.76 = 161,648.76/x
  3. Step 3: Cross multiply
    297,612.16x = 410,707.76 × 161,648.76
  4. Step 4: Simplify right side
    297,612.16x = 66,390,399,722.26
  5. Step 5: Solve for x
    x = 66,390,399,722.26/297,612.16
  6. Step 6: Final answer
    x = 223,076.91

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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.