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Finding the Fourth Proportional to 408,254.21, 612,395.13 and 142,017.03

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Solution

The fourth proportional to 408,254.21, 612,395.13 and 142,017.03 is: 213,030.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,254.21 : 612,395.13 = 142,017.03 : x
  2. Step 2: Convert to fraction form
    408,254.21/612,395.13 = 142,017.03/x
  3. Step 3: Cross multiply
    408,254.21x = 612,395.13 × 142,017.03
  4. Step 4: Simplify right side
    408,254.21x = 86,970,537,549.06
  5. Step 5: Solve for x
    x = 86,970,537,549.06/408,254.21
  6. Step 6: Final answer
    x = 213,030.35

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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.