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Finding the Fourth Proportional to 469,266.96, 647,301.64 and 278,152.40

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Solution

The fourth proportional to 469,266.96, 647,301.64 and 278,152.40 is: 383,680.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,266.96 : 647,301.64 = 278,152.40 : x
  2. Step 2: Convert to fraction form
    469,266.96/647,301.64 = 278,152.40/x
  3. Step 3: Cross multiply
    469,266.96x = 647,301.64 × 278,152.40
  4. Step 4: Simplify right side
    469,266.96x = 180,048,504,689.94
  5. Step 5: Solve for x
    x = 180,048,504,689.94/469,266.96
  6. Step 6: Final answer
    x = 383,680.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.