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Finding the Fourth Proportional to 408,603.42, 612,962.64 and 142,325.46

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Solution

The fourth proportional to 408,603.42, 612,962.64 and 142,325.46 is: 213,508.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,603.42 : 612,962.64 = 142,325.46 : x
  2. Step 2: Convert to fraction form
    408,603.42/612,962.64 = 142,325.46/x
  3. Step 3: Cross multiply
    408,603.42x = 612,962.64 × 142,325.46
  4. Step 4: Simplify right side
    408,603.42x = 87,240,189,700.81
  5. Step 5: Solve for x
    x = 87,240,189,700.81/408,603.42
  6. Step 6: Final answer
    x = 213,508.22

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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.