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Finding the Fourth Proportional to 304,209.39, 456,308.91 and 90,977.79

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Solution

The fourth proportional to 304,209.39, 456,308.91 and 90,977.79 is: 136,465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,209.39 : 456,308.91 = 90,977.79 : x
  2. Step 2: Convert to fraction form
    304,209.39/456,308.91 = 90,977.79/x
  3. Step 3: Cross multiply
    304,209.39x = 456,308.91 × 90,977.79
  4. Step 4: Simplify right side
    304,209.39x = 41,513,976,189.11
  5. Step 5: Solve for x
    x = 41,513,976,189.11/304,209.39
  6. Step 6: Final answer
    x = 136,465.14

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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.