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Finding the Fourth Proportional to 587,560.32, 810,534.78 and 383,730.54

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Solution

The fourth proportional to 587,560.32, 810,534.78 and 383,730.54 is: 529,353.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,560.32 : 810,534.78 = 383,730.54 : x
  2. Step 2: Convert to fraction form
    587,560.32/810,534.78 = 383,730.54/x
  3. Step 3: Cross multiply
    587,560.32x = 810,534.78 × 383,730.54
  4. Step 4: Simplify right side
    587,560.32x = 311,026,948,818.18
  5. Step 5: Solve for x
    x = 311,026,948,818.18/587,560.32
  6. Step 6: Final answer
    x = 529,353.22

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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.