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Finding the Fourth Proportional to 313,172.64, 432,149.04 and 177,219

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Solution

The fourth proportional to 313,172.64, 432,149.04 and 177,219 is: 244,545.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,172.64 : 432,149.04 = 177,219 : x
  2. Step 2: Convert to fraction form
    313,172.64/432,149.04 = 177,219/x
  3. Step 3: Cross multiply
    313,172.64x = 432,149.04 × 177,219
  4. Step 4: Simplify right side
    313,172.64x = 76,585,020,719.76
  5. Step 5: Solve for x
    x = 76,585,020,719.76/313,172.64
  6. Step 6: Final answer
    x = 244,545.69

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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.