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Finding the Fourth Proportional to 280,487.96, 387,016.00 and 165,709.08

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Solution

The fourth proportional to 280,487.96, 387,016.00 and 165,709.08 is: 228,644.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,487.96 : 387,016.00 = 165,709.08 : x
  2. Step 2: Convert to fraction form
    280,487.96/387,016.00 = 165,709.08/x
  3. Step 3: Cross multiply
    280,487.96x = 387,016.00 × 165,709.08
  4. Step 4: Simplify right side
    280,487.96x = 64,132,064,812.82
  5. Step 5: Solve for x
    x = 64,132,064,812.82/280,487.96
  6. Step 6: Final answer
    x = 228,644.62

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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.