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Finding the Fourth Proportional to 1,970,540, 2,955,810 and 474,632

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Solution

The fourth proportional to 1,970,540, 2,955,810 and 474,632 is: 711,948

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970,540 : 2,955,810 = 474,632 : x
  2. Step 2: Convert to fraction form
    1,970,540/2,955,810 = 474,632/x
  3. Step 3: Cross multiply
    1,970,540x = 2,955,810 × 474,632
  4. Step 4: Simplify right side
    1,970,540x = 1,402,922,011,920
  5. Step 5: Solve for x
    x = 1,402,922,011,920/1,970,540
  6. Step 6: Final answer
    x = 711,948

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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.