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Finding the Fourth Proportional to 859,052.56, 1,288,859.12 and 409,715.05

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Solution

The fourth proportional to 859,052.56, 1,288,859.12 and 409,715.05 is: 614,706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,052.56 : 1,288,859.12 = 409,715.05 : x
  2. Step 2: Convert to fraction form
    859,052.56/1,288,859.12 = 409,715.05/x
  3. Step 3: Cross multiply
    859,052.56x = 1,288,859.12 × 409,715.05
  4. Step 4: Simplify right side
    859,052.56x = 528,064,976,595.90
  5. Step 5: Solve for x
    x = 528,064,976,595.90/859,052.56
  6. Step 6: Final answer
    x = 614,706.25

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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.