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Finding the Fourth Proportional to 313,657.68, 432,833.49 and 177,688.86

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Solution

The fourth proportional to 313,657.68, 432,833.49 and 177,688.86 is: 245,202.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,657.68 : 432,833.49 = 177,688.86 : x
  2. Step 2: Convert to fraction form
    313,657.68/432,833.49 = 177,688.86/x
  3. Step 3: Cross multiply
    313,657.68x = 432,833.49 × 177,688.86
  4. Step 4: Simplify right side
    313,657.68x = 76,909,687,784.80
  5. Step 5: Solve for x
    x = 76,909,687,784.80/313,657.68
  6. Step 6: Final answer
    x = 245,202.63

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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.