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Finding the Fourth Proportional to 646,953.80, 970,722.30 and 309,864.20

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Solution

The fourth proportional to 646,953.80, 970,722.30 and 309,864.20 is: 464,935.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,953.80 : 970,722.30 = 309,864.20 : x
  2. Step 2: Convert to fraction form
    646,953.80/970,722.30 = 309,864.20/x
  3. Step 3: Cross multiply
    646,953.80x = 970,722.30 × 309,864.20
  4. Step 4: Simplify right side
    646,953.80x = 300,792,088,911.66
  5. Step 5: Solve for x
    x = 300,792,088,911.66/646,953.80
  6. Step 6: Final answer
    x = 464,935.96

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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.