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Finding the Fourth Proportional to 288,427.72, 398,038.28 and 159,374.54

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Solution

The fourth proportional to 288,427.72, 398,038.28 and 159,374.54 is: 219,941.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,427.72 : 398,038.28 = 159,374.54 : x
  2. Step 2: Convert to fraction form
    288,427.72/398,038.28 = 159,374.54/x
  3. Step 3: Cross multiply
    288,427.72x = 398,038.28 × 159,374.54
  4. Step 4: Simplify right side
    288,427.72x = 63,437,167,777.39
  5. Step 5: Solve for x
    x = 63,437,167,777.39/288,427.72
  6. Step 6: Final answer
    x = 219,941.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.