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Finding the Fourth Proportional to 309,934.60, 464,901.90 and 307,601.80

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Solution

The fourth proportional to 309,934.60, 464,901.90 and 307,601.80 is: 461,402.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,934.60 : 464,901.90 = 307,601.80 : x
  2. Step 2: Convert to fraction form
    309,934.60/464,901.90 = 307,601.80/x
  3. Step 3: Cross multiply
    309,934.60x = 464,901.90 × 307,601.80
  4. Step 4: Simplify right side
    309,934.60x = 143,004,661,263.42
  5. Step 5: Solve for x
    x = 143,004,661,263.42/309,934.60
  6. Step 6: Final answer
    x = 461,402.70

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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.