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Finding the Fourth Proportional to 305,038.79, 420,978.73 and 169,115.38

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Solution

The fourth proportional to 305,038.79, 420,978.73 and 169,115.38 is: 233,393.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,038.79 : 420,978.73 = 169,115.38 : x
  2. Step 2: Convert to fraction form
    305,038.79/420,978.73 = 169,115.38/x
  3. Step 3: Cross multiply
    305,038.79x = 420,978.73 × 169,115.38
  4. Step 4: Simplify right side
    305,038.79x = 71,193,976,420.63
  5. Step 5: Solve for x
    x = 71,193,976,420.63/305,038.79
  6. Step 6: Final answer
    x = 233,393.19

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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.