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Finding the Fourth Proportional to 313,951.78, 433,258.32 and 170,712.16

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Solution

The fourth proportional to 313,951.78, 433,258.32 and 170,712.16 is: 235,585.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,951.78 : 433,258.32 = 170,712.16 : x
  2. Step 2: Convert to fraction form
    313,951.78/433,258.32 = 170,712.16/x
  3. Step 3: Cross multiply
    313,951.78x = 433,258.32 × 170,712.16
  4. Step 4: Simplify right side
    313,951.78x = 73,962,463,645.17
  5. Step 5: Solve for x
    x = 73,962,463,645.17/313,951.78
  6. Step 6: Final answer
    x = 235,585.43

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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.