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Finding the Fourth Proportional to 280,767.72, 387,343.40 and 204,118.76

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Solution

The fourth proportional to 280,767.72, 387,343.40 and 204,118.76 is: 281,599.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,767.72 : 387,343.40 = 204,118.76 : x
  2. Step 2: Convert to fraction form
    280,767.72/387,343.40 = 204,118.76/x
  3. Step 3: Cross multiply
    280,767.72x = 387,343.40 × 204,118.76
  4. Step 4: Simplify right side
    280,767.72x = 79,064,054,502.18
  5. Step 5: Solve for x
    x = 79,064,054,502.18/280,767.72
  6. Step 6: Final answer
    x = 281,599.52

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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.