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Finding the Fourth Proportional to 469,256.32, 647,667.84 and 278,375.68

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Solution

The fourth proportional to 469,256.32, 647,667.84 and 278,375.68 is: 384,214.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,256.32 : 647,667.84 = 278,375.68 : x
  2. Step 2: Convert to fraction form
    469,256.32/647,667.84 = 278,375.68/x
  3. Step 3: Cross multiply
    469,256.32x = 647,667.84 × 278,375.68
  4. Step 4: Simplify right side
    469,256.32x = 180,294,975,374.13
  5. Step 5: Solve for x
    x = 180,294,975,374.13/469,256.32
  6. Step 6: Final answer
    x = 384,214.27

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1.5x scale

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.