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Finding the Fourth Proportional to 288,896.59, 432,989.96 and 162,270.64

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Solution

The fourth proportional to 288,896.59, 432,989.96 and 162,270.64 is: 243,206.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,896.59 : 432,989.96 = 162,270.64 : x
  2. Step 2: Convert to fraction form
    288,896.59/432,989.96 = 162,270.64/x
  3. Step 3: Cross multiply
    288,896.59x = 432,989.96 × 162,270.64
  4. Step 4: Simplify right side
    288,896.59x = 70,261,557,652.66
  5. Step 5: Solve for x
    x = 70,261,557,652.66/288,896.59
  6. Step 6: Final answer
    x = 243,206.60

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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.