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Finding the Fourth Proportional to 281,200.96, 388,057.35 and 153,876.57

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Solution

The fourth proportional to 281,200.96, 388,057.35 and 153,876.57 is: 212,349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,200.96 : 388,057.35 = 153,876.57 : x
  2. Step 2: Convert to fraction form
    281,200.96/388,057.35 = 153,876.57/x
  3. Step 3: Cross multiply
    281,200.96x = 388,057.35 × 153,876.57
  4. Step 4: Simplify right side
    281,200.96x = 59,712,933,981.29
  5. Step 5: Solve for x
    x = 59,712,933,981.29/281,200.96
  6. Step 6: Final answer
    x = 212,349.68

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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.