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Finding the Fourth Proportional to 647,129.80, 970,694.70 and 610,388.20

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Solution

The fourth proportional to 647,129.80, 970,694.70 and 610,388.20 is: 915,582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,129.80 : 970,694.70 = 610,388.20 : x
  2. Step 2: Convert to fraction form
    647,129.80/970,694.70 = 610,388.20/x
  3. Step 3: Cross multiply
    647,129.80x = 970,694.70 × 610,388.20
  4. Step 4: Simplify right side
    647,129.80x = 592,500,590,682.54
  5. Step 5: Solve for x
    x = 592,500,590,682.54/647,129.80
  6. Step 6: Final answer
    x = 915,582.30

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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.