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Finding the Fourth Proportional to 442,920.30, 664,380.45 and 309,950.70

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Solution

The fourth proportional to 442,920.30, 664,380.45 and 309,950.70 is: 464,926.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,920.30 : 664,380.45 = 309,950.70 : x
  2. Step 2: Convert to fraction form
    442,920.30/664,380.45 = 309,950.70/x
  3. Step 3: Cross multiply
    442,920.30x = 664,380.45 × 309,950.70
  4. Step 4: Simplify right side
    442,920.30x = 205,925,185,543.82
  5. Step 5: Solve for x
    x = 205,925,185,543.82/442,920.30
  6. Step 6: Final answer
    x = 464,926.05

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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.