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Finding the Fourth Proportional to 313,711.89, 432,939 and 177,772.20

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Solution

The fourth proportional to 313,711.89, 432,939 and 177,772.20 is: 245,335.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,711.89 : 432,939 = 177,772.20 : x
  2. Step 2: Convert to fraction form
    313,711.89/432,939 = 177,772.20/x
  3. Step 3: Cross multiply
    313,711.89x = 432,939 × 177,772.20
  4. Step 4: Simplify right side
    313,711.89x = 76,964,518,495.80
  5. Step 5: Solve for x
    x = 76,964,518,495.80/313,711.89
  6. Step 6: Final answer
    x = 245,335.04

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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.