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Finding the Fourth Proportional to 309,538.60, 464,339.71 and 107,134.30

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Solution

The fourth proportional to 309,538.60, 464,339.71 and 107,134.30 is: 160,712.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,538.60 : 464,339.71 = 107,134.30 : x
  2. Step 2: Convert to fraction form
    309,538.60/464,339.71 = 107,134.30/x
  3. Step 3: Cross multiply
    309,538.60x = 464,339.71 × 107,134.30
  4. Step 4: Simplify right side
    309,538.60x = 49,746,709,793.05
  5. Step 5: Solve for x
    x = 49,746,709,793.05/309,538.60
  6. Step 6: Final answer
    x = 160,712.46

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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.