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Finding the Fourth Proportional to 380,271.60, 570,437.10 and 169,930.80

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Solution

The fourth proportional to 380,271.60, 570,437.10 and 169,930.80 is: 254,909.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,271.60 : 570,437.10 = 169,930.80 : x
  2. Step 2: Convert to fraction form
    380,271.60/570,437.10 = 169,930.80/x
  3. Step 3: Cross multiply
    380,271.60x = 570,437.10 × 169,930.80
  4. Step 4: Simplify right side
    380,271.60x = 96,934,832,752.68
  5. Step 5: Solve for x
    x = 96,934,832,752.68/380,271.60
  6. Step 6: Final answer
    x = 254,909.47

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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.