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Finding the Fourth Proportional to 284,052.32, 391,992.16 and 156,728.16

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Solution

The fourth proportional to 284,052.32, 391,992.16 and 156,728.16 is: 216,284.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,052.32 : 391,992.16 = 156,728.16 : x
  2. Step 2: Convert to fraction form
    284,052.32/391,992.16 = 156,728.16/x
  3. Step 3: Cross multiply
    284,052.32x = 391,992.16 × 156,728.16
  4. Step 4: Simplify right side
    284,052.32x = 61,436,209,971.23
  5. Step 5: Solve for x
    x = 61,436,209,971.23/284,052.32
  6. Step 6: Final answer
    x = 216,284.84

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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.