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Finding the Fourth Proportional to 391,421.52, 539,976.24 and 264,138.16

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Solution

The fourth proportional to 391,421.52, 539,976.24 and 264,138.16 is: 364,385.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,421.52 : 539,976.24 = 264,138.16 : x
  2. Step 2: Convert to fraction form
    391,421.52/539,976.24 = 264,138.16/x
  3. Step 3: Cross multiply
    391,421.52x = 539,976.24 × 264,138.16
  4. Step 4: Simplify right side
    391,421.52x = 142,628,330,477.32
  5. Step 5: Solve for x
    x = 142,628,330,477.32/391,421.52
  6. Step 6: Final answer
    x = 364,385.51

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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.