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Finding the Fourth Proportional to 457,200, 630,790.20 and 296,178.48

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Solution

The fourth proportional to 457,200, 630,790.20 and 296,178.48 is: 408,631.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,200 : 630,790.20 = 296,178.48 : x
  2. Step 2: Convert to fraction form
    457,200/630,790.20 = 296,178.48/x
  3. Step 3: Cross multiply
    457,200x = 630,790.20 × 296,178.48
  4. Step 4: Simplify right side
    457,200x = 186,826,482,634.90
  5. Step 5: Solve for x
    x = 186,826,482,634.90/457,200
  6. Step 6: Final answer
    x = 408,631.85

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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.