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Finding the Fourth Proportional to 380,998.80, 571,098.14 and 128,191.52

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Solution

The fourth proportional to 380,998.80, 571,098.14 and 128,191.52 is: 192,152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,998.80 : 571,098.14 = 128,191.52 : x
  2. Step 2: Convert to fraction form
    380,998.80/571,098.14 = 128,191.52/x
  3. Step 3: Cross multiply
    380,998.80x = 571,098.14 × 128,191.52
  4. Step 4: Simplify right side
    380,998.80x = 73,209,939,903.28
  5. Step 5: Solve for x
    x = 73,209,939,903.28/380,998.80
  6. Step 6: Final answer
    x = 192,152.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.