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Finding the Fourth Proportional to 284,051.60, 391,999.41 and 156,735.39

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Solution

The fourth proportional to 284,051.60, 391,999.41 and 156,735.39 is: 216,299.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,051.60 : 391,999.41 = 156,735.39 : x
  2. Step 2: Convert to fraction form
    284,051.60/391,999.41 = 156,735.39/x
  3. Step 3: Cross multiply
    284,051.60x = 391,999.41 × 156,735.39
  4. Step 4: Simplify right side
    284,051.60x = 61,440,180,406.12
  5. Step 5: Solve for x
    x = 61,440,180,406.12/284,051.60
  6. Step 6: Final answer
    x = 216,299.36

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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.