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Finding the Fourth Proportional to 474,860.50, 712,290.75 and 142,436.50

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Solution

The fourth proportional to 474,860.50, 712,290.75 and 142,436.50 is: 213,654.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,860.50 : 712,290.75 = 142,436.50 : x
  2. Step 2: Convert to fraction form
    474,860.50/712,290.75 = 142,436.50/x
  3. Step 3: Cross multiply
    474,860.50x = 712,290.75 × 142,436.50
  4. Step 4: Simplify right side
    474,860.50x = 101,456,201,412.38
  5. Step 5: Solve for x
    x = 101,456,201,412.38/474,860.50
  6. Step 6: Final answer
    x = 213,654.75

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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.