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Finding the Fourth Proportional to 391,590.72, 540,421.92 and 221,826.24

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Solution

The fourth proportional to 391,590.72, 540,421.92 and 221,826.24 is: 306,135.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,590.72 : 540,421.92 = 221,826.24 : x
  2. Step 2: Convert to fraction form
    391,590.72/540,421.92 = 221,826.24/x
  3. Step 3: Cross multiply
    391,590.72x = 540,421.92 × 221,826.24
  4. Step 4: Simplify right side
    391,590.72x = 119,879,762,527.18
  5. Step 5: Solve for x
    x = 119,879,762,527.18/391,590.72
  6. Step 6: Final answer
    x = 306,135.35

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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.