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Finding the Fourth Proportional to 355,909.04, 491,150.81 and 202,972.13

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Solution

The fourth proportional to 355,909.04, 491,150.81 and 202,972.13 is: 280,099.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,909.04 : 491,150.81 = 202,972.13 : x
  2. Step 2: Convert to fraction form
    355,909.04/491,150.81 = 202,972.13/x
  3. Step 3: Cross multiply
    355,909.04x = 491,150.81 × 202,972.13
  4. Step 4: Simplify right side
    355,909.04x = 99,689,925,042.06
  5. Step 5: Solve for x
    x = 99,689,925,042.06/355,909.04
  6. Step 6: Final answer
    x = 280,099.45

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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.