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Finding the Fourth Proportional to 433,865.30, 651,217.76 and 209,383.76

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Solution

The fourth proportional to 433,865.30, 651,217.76 and 209,383.76 is: 314,278.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,865.30 : 651,217.76 = 209,383.76 : x
  2. Step 2: Convert to fraction form
    433,865.30/651,217.76 = 209,383.76/x
  3. Step 3: Cross multiply
    433,865.30x = 651,217.76 × 209,383.76
  4. Step 4: Simplify right side
    433,865.30x = 136,354,418,864.57
  5. Step 5: Solve for x
    x = 136,354,418,864.57/433,865.30
  6. Step 6: Final answer
    x = 314,278.23

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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.