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Finding the Fourth Proportional to 492,520.50, 678,319.11 and 424,512.36

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Solution

The fourth proportional to 492,520.50, 678,319.11 and 424,512.36 is: 584,655.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,520.50 : 678,319.11 = 424,512.36 : x
  2. Step 2: Convert to fraction form
    492,520.50/678,319.11 = 424,512.36/x
  3. Step 3: Cross multiply
    492,520.50x = 678,319.11 × 424,512.36
  4. Step 4: Simplify right side
    492,520.50x = 287,954,846,219.20
  5. Step 5: Solve for x
    x = 287,954,846,219.20/492,520.50
  6. Step 6: Final answer
    x = 584,655.55

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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.