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Finding the Fourth Proportional to 258,954.30, 357,374.89 and 156,984.06

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Solution

The fourth proportional to 258,954.30, 357,374.89 and 156,984.06 is: 216,648.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,954.30 : 357,374.89 = 156,984.06 : x
  2. Step 2: Convert to fraction form
    258,954.30/357,374.89 = 156,984.06/x
  3. Step 3: Cross multiply
    258,954.30x = 357,374.89 × 156,984.06
  4. Step 4: Simplify right side
    258,954.30x = 56,102,159,817.37
  5. Step 5: Solve for x
    x = 56,102,159,817.37/258,954.30
  6. Step 6: Final answer
    x = 216,648.88

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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.