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Finding the Fourth Proportional to 647,098.20, 970,647.30 and 458,141.40

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Solution

The fourth proportional to 647,098.20, 970,647.30 and 458,141.40 is: 687,212.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,098.20 : 970,647.30 = 458,141.40 : x
  2. Step 2: Convert to fraction form
    647,098.20/970,647.30 = 458,141.40/x
  3. Step 3: Cross multiply
    647,098.20x = 970,647.30 × 458,141.40
  4. Step 4: Simplify right side
    647,098.20x = 444,693,712,928.22
  5. Step 5: Solve for x
    x = 444,693,712,928.22/647,098.20
  6. Step 6: Final answer
    x = 687,212.10

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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.