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Finding the Fourth Proportional to 288,215.64, 397,744.29 and 180,790.20

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Solution

The fourth proportional to 288,215.64, 397,744.29 and 180,790.20 is: 249,494.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,215.64 : 397,744.29 = 180,790.20 : x
  2. Step 2: Convert to fraction form
    288,215.64/397,744.29 = 180,790.20/x
  3. Step 3: Cross multiply
    288,215.64x = 397,744.29 × 180,790.20
  4. Step 4: Simplify right side
    288,215.64x = 71,908,269,737.96
  5. Step 5: Solve for x
    x = 71,908,269,737.96/288,215.64
  6. Step 6: Final answer
    x = 249,494.68

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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.