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Finding the Fourth Proportional to 1,193,409, 1,646,904.48 and 656,865

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Solution

The fourth proportional to 1,193,409, 1,646,904.48 and 656,865 is: 906,473.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193,409 : 1,646,904.48 = 656,865 : x
  2. Step 2: Convert to fraction form
    1,193,409/1,646,904.48 = 656,865/x
  3. Step 3: Cross multiply
    1,193,409x = 1,646,904.48 × 656,865
  4. Step 4: Simplify right side
    1,193,409x = 1,081,793,911,255.20
  5. Step 5: Solve for x
    x = 1,081,793,911,255.20/1,193,409
  6. Step 6: Final answer
    x = 906,473.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.