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Finding the Fourth Proportional to 646,708.94, 970,478.61 and 433,717.39

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Solution

The fourth proportional to 646,708.94, 970,478.61 and 433,717.39 is: 650,854.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,708.94 : 970,478.61 = 433,717.39 : x
  2. Step 2: Convert to fraction form
    646,708.94/970,478.61 = 433,717.39/x
  3. Step 3: Cross multiply
    646,708.94x = 970,478.61 × 433,717.39
  4. Step 4: Simplify right side
    646,708.94x = 420,913,449,780.03
  5. Step 5: Solve for x
    x = 420,913,449,780.03/646,708.94
  6. Step 6: Final answer
    x = 650,854.54

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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.