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Finding the Fourth Proportional to 390,051.18, 584,960.85 and 165,408.30

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Solution

The fourth proportional to 390,051.18, 584,960.85 and 165,408.30 is: 248,063.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,051.18 : 584,960.85 = 165,408.30 : x
  2. Step 2: Convert to fraction form
    390,051.18/584,960.85 = 165,408.30/x
  3. Step 3: Cross multiply
    390,051.18x = 584,960.85 × 165,408.30
  4. Step 4: Simplify right side
    390,051.18x = 96,757,379,765.06
  5. Step 5: Solve for x
    x = 96,757,379,765.06/390,051.18
  6. Step 6: Final answer
    x = 248,063.29

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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.