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Finding the Fourth Proportional to 258,857.89, 357,248.01 and 151,421.11

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Solution

The fourth proportional to 258,857.89, 357,248.01 and 151,421.11 is: 208,975.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,857.89 : 357,248.01 = 151,421.11 : x
  2. Step 2: Convert to fraction form
    258,857.89/357,248.01 = 151,421.11/x
  3. Step 3: Cross multiply
    258,857.89x = 357,248.01 × 151,421.11
  4. Step 4: Simplify right side
    258,857.89x = 54,094,890,219.49
  5. Step 5: Solve for x
    x = 54,094,890,219.49/258,857.89
  6. Step 6: Final answer
    x = 208,975.24

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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.