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Finding the Fourth Proportional to 520,641.08, 780,680.98 and 280,883.52

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Solution

The fourth proportional to 520,641.08, 780,680.98 and 280,883.52 is: 421,173.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,641.08 : 780,680.98 = 280,883.52 : x
  2. Step 2: Convert to fraction form
    520,641.08/780,680.98 = 280,883.52/x
  3. Step 3: Cross multiply
    520,641.08x = 780,680.98 × 280,883.52
  4. Step 4: Simplify right side
    520,641.08x = 219,280,421,659.45
  5. Step 5: Solve for x
    x = 219,280,421,659.45/520,641.08
  6. Step 6: Final answer
    x = 421,173.88

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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.