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Finding the Fourth Proportional to 413,733.90, 620,600.85 and 256,269.90

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Solution

The fourth proportional to 413,733.90, 620,600.85 and 256,269.90 is: 384,404.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,733.90 : 620,600.85 = 256,269.90 : x
  2. Step 2: Convert to fraction form
    413,733.90/620,600.85 = 256,269.90/x
  3. Step 3: Cross multiply
    413,733.90x = 620,600.85 × 256,269.90
  4. Step 4: Simplify right side
    413,733.90x = 159,041,317,769.42
  5. Step 5: Solve for x
    x = 159,041,317,769.42/413,733.90
  6. Step 6: Final answer
    x = 384,404.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.