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Finding the Fourth Proportional to 514,864.20, 770,546.70 and 451,878.60

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Solution

The fourth proportional to 514,864.20, 770,546.70 and 451,878.60 is: 676,282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,864.20 : 770,546.70 = 451,878.60 : x
  2. Step 2: Convert to fraction form
    514,864.20/770,546.70 = 451,878.60/x
  3. Step 3: Cross multiply
    514,864.20x = 770,546.70 × 451,878.60
  4. Step 4: Simplify right side
    514,864.20x = 348,193,564,030.62
  5. Step 5: Solve for x
    x = 348,193,564,030.62/514,864.20
  6. Step 6: Final answer
    x = 676,282.34

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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.