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Finding the Fourth Proportional to 280,474.72, 387,105 and 165,748.48

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Solution

The fourth proportional to 280,474.72, 387,105 and 165,748.48 is: 228,762.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,474.72 : 387,105 = 165,748.48 : x
  2. Step 2: Convert to fraction form
    280,474.72/387,105 = 165,748.48/x
  3. Step 3: Cross multiply
    280,474.72x = 387,105 × 165,748.48
  4. Step 4: Simplify right side
    280,474.72x = 64,162,065,350.40
  5. Step 5: Solve for x
    x = 64,162,065,350.40/280,474.72
  6. Step 6: Final answer
    x = 228,762.38

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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.