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Finding the Fourth Proportional to 649,146.96, 896,169.96 and 434,652.48

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Solution

The fourth proportional to 649,146.96, 896,169.96 and 434,652.48 is: 600,052.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,146.96 : 896,169.96 = 434,652.48 : x
  2. Step 2: Convert to fraction form
    649,146.96/896,169.96 = 434,652.48/x
  3. Step 3: Cross multiply
    649,146.96x = 896,169.96 × 434,652.48
  4. Step 4: Simplify right side
    649,146.96x = 389,522,495,615.50
  5. Step 5: Solve for x
    x = 389,522,495,615.50/649,146.96
  6. Step 6: Final answer
    x = 600,052.87

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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.