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Finding the Fourth Proportional to 313,117.32, 432,102.84 and 169,878.54

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Solution

The fourth proportional to 313,117.32, 432,102.84 and 169,878.54 is: 234,432.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,117.32 : 432,102.84 = 169,878.54 : x
  2. Step 2: Convert to fraction form
    313,117.32/432,102.84 = 169,878.54/x
  3. Step 3: Cross multiply
    313,117.32x = 432,102.84 × 169,878.54
  4. Step 4: Simplify right side
    313,117.32x = 73,404,999,589.05
  5. Step 5: Solve for x
    x = 73,404,999,589.05/313,117.32
  6. Step 6: Final answer
    x = 234,432.89

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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.