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Finding the Fourth Proportional to 413,515.80, 620,856.90 and 256,051.80

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Solution

The fourth proportional to 413,515.80, 620,856.90 and 256,051.80 is: 384,438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,515.80 : 620,856.90 = 256,051.80 : x
  2. Step 2: Convert to fraction form
    413,515.80/620,856.90 = 256,051.80/x
  3. Step 3: Cross multiply
    413,515.80x = 620,856.90 × 256,051.80
  4. Step 4: Simplify right side
    413,515.80x = 158,971,526,787.42
  5. Step 5: Solve for x
    x = 158,971,526,787.42/413,515.80
  6. Step 6: Final answer
    x = 384,438.82

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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.