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Finding the Fourth Proportional to 557,089.64, 768,390.20 and 342,350.52

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Solution

The fourth proportional to 557,089.64, 768,390.20 and 342,350.52 is: 472,201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,089.64 : 768,390.20 = 342,350.52 : x
  2. Step 2: Convert to fraction form
    557,089.64/768,390.20 = 342,350.52/x
  3. Step 3: Cross multiply
    557,089.64x = 768,390.20 × 342,350.52
  4. Step 4: Simplify right side
    557,089.64x = 263,058,784,532.90
  5. Step 5: Solve for x
    x = 263,058,784,532.90/557,089.64
  6. Step 6: Final answer
    x = 472,201.90

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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.