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Finding the Fourth Proportional to 610,455.31, 842,358.69 and 338,454.47

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Solution

The fourth proportional to 610,455.31, 842,358.69 and 338,454.47 is: 467,028.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,455.31 : 842,358.69 = 338,454.47 : x
  2. Step 2: Convert to fraction form
    610,455.31/842,358.69 = 338,454.47/x
  3. Step 3: Cross multiply
    610,455.31x = 842,358.69 × 338,454.47
  4. Step 4: Simplify right side
    610,455.31x = 285,100,063,973.84
  5. Step 5: Solve for x
    x = 285,100,063,973.84/610,455.31
  6. Step 6: Final answer
    x = 467,028.56

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1.5x scale

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.