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Finding the Fourth Proportional to 475,930.68, 712,944.24 and 286,286.40

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Solution

The fourth proportional to 475,930.68, 712,944.24 and 286,286.40 is: 428,857.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,930.68 : 712,944.24 = 286,286.40 : x
  2. Step 2: Convert to fraction form
    475,930.68/712,944.24 = 286,286.40/x
  3. Step 3: Cross multiply
    475,930.68x = 712,944.24 × 286,286.40
  4. Step 4: Simplify right side
    475,930.68x = 204,106,239,870.34
  5. Step 5: Solve for x
    x = 204,106,239,870.34/475,930.68
  6. Step 6: Final answer
    x = 428,857.08

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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.