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Finding the Fourth Proportional to 474,405, 655,077.80 and 338,854.74

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Solution

The fourth proportional to 474,405, 655,077.80 and 338,854.74 is: 467,904.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,405 : 655,077.80 = 338,854.74 : x
  2. Step 2: Convert to fraction form
    474,405/655,077.80 = 338,854.74/x
  3. Step 3: Cross multiply
    474,405x = 655,077.80 × 338,854.74
  4. Step 4: Simplify right side
    474,405x = 221,976,217,598.77
  5. Step 5: Solve for x
    x = 221,976,217,598.77/474,405
  6. Step 6: Final answer
    x = 467,904.46

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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.