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Finding the Fourth Proportional to 290,319.18, 435,474.91 and 140,572.86

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Solution

The fourth proportional to 290,319.18, 435,474.91 and 140,572.86 is: 210,857.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,319.18 : 435,474.91 = 140,572.86 : x
  2. Step 2: Convert to fraction form
    290,319.18/435,474.91 = 140,572.86/x
  3. Step 3: Cross multiply
    290,319.18x = 435,474.91 × 140,572.86
  4. Step 4: Simplify right side
    290,319.18x = 61,215,953,556.94
  5. Step 5: Solve for x
    x = 61,215,953,556.94/290,319.18
  6. Step 6: Final answer
    x = 210,857.42

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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.