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Finding the Fourth Proportional to 284,021.40, 391,942.98 and 156,696.96

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Solution

The fourth proportional to 284,021.40, 391,942.98 and 156,696.96 is: 216,238.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,021.40 : 391,942.98 = 156,696.96 : x
  2. Step 2: Convert to fraction form
    284,021.40/391,942.98 = 156,696.96/x
  3. Step 3: Cross multiply
    284,021.40x = 391,942.98 × 156,696.96
  4. Step 4: Simplify right side
    284,021.40x = 61,416,273,459.34
  5. Step 5: Solve for x
    x = 61,416,273,459.34/284,021.40
  6. Step 6: Final answer
    x = 216,238.19

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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.