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Finding the Fourth Proportional to 284,051.96, 391,999.91 and 156,735.76

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Solution

The fourth proportional to 284,051.96, 391,999.91 and 156,735.76 is: 216,299.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,051.96 : 391,999.91 = 156,735.76 : x
  2. Step 2: Convert to fraction form
    284,051.96/391,999.91 = 156,735.76/x
  3. Step 3: Cross multiply
    284,051.96x = 391,999.91 × 156,735.76
  4. Step 4: Simplify right side
    284,051.96x = 61,440,401,853.78
  5. Step 5: Solve for x
    x = 61,440,401,853.78/284,051.96
  6. Step 6: Final answer
    x = 216,299.87

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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.