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Finding the Fourth Proportional to 474,848.88, 712,267.56 and 142,422

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Solution

The fourth proportional to 474,848.88, 712,267.56 and 142,422 is: 213,631.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,848.88 : 712,267.56 = 142,422 : x
  2. Step 2: Convert to fraction form
    474,848.88/712,267.56 = 142,422/x
  3. Step 3: Cross multiply
    474,848.88x = 712,267.56 × 142,422
  4. Step 4: Simplify right side
    474,848.88x = 101,442,570,430.32
  5. Step 5: Solve for x
    x = 101,442,570,430.32/474,848.88
  6. Step 6: Final answer
    x = 213,631.27

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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.