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Finding the Fourth Proportional to 646,988.40, 970,309.80 and 197,708.40

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Solution

The fourth proportional to 646,988.40, 970,309.80 and 197,708.40 is: 296,509.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,988.40 : 970,309.80 = 197,708.40 : x
  2. Step 2: Convert to fraction form
    646,988.40/970,309.80 = 197,708.40/x
  3. Step 3: Cross multiply
    646,988.40x = 970,309.80 × 197,708.40
  4. Step 4: Simplify right side
    646,988.40x = 191,838,398,062.32
  5. Step 5: Solve for x
    x = 191,838,398,062.32/646,988.40
  6. Step 6: Final answer
    x = 296,509.80

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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.