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Finding the Fourth Proportional to 280,770.63, 387,462.53 and 153,446.19

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Solution

The fourth proportional to 280,770.63, 387,462.53 and 153,446.19 is: 211,755.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,770.63 : 387,462.53 = 153,446.19 : x
  2. Step 2: Convert to fraction form
    280,770.63/387,462.53 = 153,446.19/x
  3. Step 3: Cross multiply
    280,770.63x = 387,462.53 × 153,446.19
  4. Step 4: Simplify right side
    280,770.63x = 59,454,648,229.03
  5. Step 5: Solve for x
    x = 59,454,648,229.03/280,770.63
  6. Step 6: Final answer
    x = 211,755.23

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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.