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Finding the Fourth Proportional to 288,745.26, 432,695.10 and 162,631.32

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Solution

The fourth proportional to 288,745.26, 432,695.10 and 162,631.32 is: 243,708.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,745.26 : 432,695.10 = 162,631.32 : x
  2. Step 2: Convert to fraction form
    288,745.26/432,695.10 = 162,631.32/x
  3. Step 3: Cross multiply
    288,745.26x = 432,695.10 × 162,631.32
  4. Step 4: Simplify right side
    288,745.26x = 70,369,775,270.53
  5. Step 5: Solve for x
    x = 70,369,775,270.53/288,745.26
  6. Step 6: Final answer
    x = 243,708.85

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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.