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Finding the Fourth Proportional to 284,052.93, 391,992.75 and 156,728.51

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Solution

The fourth proportional to 284,052.93, 391,992.75 and 156,728.51 is: 216,285.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,052.93 : 391,992.75 = 156,728.51 : x
  2. Step 2: Convert to fraction form
    284,052.93/391,992.75 = 156,728.51/x
  3. Step 3: Cross multiply
    284,052.93x = 391,992.75 × 156,728.51
  4. Step 4: Simplify right side
    284,052.93x = 61,436,439,638.30
  5. Step 5: Solve for x
    x = 61,436,439,638.30/284,052.93
  6. Step 6: Final answer
    x = 216,285.18

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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.