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Finding the Fourth Proportional to 296,476.60, 444,747.30 and 287,145.40

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Solution

The fourth proportional to 296,476.60, 444,747.30 and 287,145.40 is: 430,749.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,476.60 : 444,747.30 = 287,145.40 : x
  2. Step 2: Convert to fraction form
    296,476.60/444,747.30 = 287,145.40/x
  3. Step 3: Cross multiply
    296,476.60x = 444,747.30 × 287,145.40
  4. Step 4: Simplify right side
    296,476.60x = 127,707,141,357.42
  5. Step 5: Solve for x
    x = 127,707,141,357.42/296,476.60
  6. Step 6: Final answer
    x = 430,749.48

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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.