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Finding the Fourth Proportional to 412,507.29, 618,403.32 and 159,613.77

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Solution

The fourth proportional to 412,507.29, 618,403.32 and 159,613.77 is: 239,282.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,507.29 : 618,403.32 = 159,613.77 : x
  2. Step 2: Convert to fraction form
    412,507.29/618,403.32 = 159,613.77/x
  3. Step 3: Cross multiply
    412,507.29x = 618,403.32 × 159,613.77
  4. Step 4: Simplify right side
    412,507.29x = 98,705,685,285.72
  5. Step 5: Solve for x
    x = 98,705,685,285.72/412,507.29
  6. Step 6: Final answer
    x = 239,282.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.