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Finding the Fourth Proportional to 557,125.52, 768,851.61 and 315,403.16

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Solution

The fourth proportional to 557,125.52, 768,851.61 and 315,403.16 is: 435,266.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,125.52 : 768,851.61 = 315,403.16 : x
  2. Step 2: Convert to fraction form
    557,125.52/768,851.61 = 315,403.16/x
  3. Step 3: Cross multiply
    557,125.52x = 768,851.61 × 315,403.16
  4. Step 4: Simplify right side
    557,125.52x = 242,498,227,365.09
  5. Step 5: Solve for x
    x = 242,498,227,365.09/557,125.52
  6. Step 6: Final answer
    x = 435,266.77

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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.