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Finding the Fourth Proportional to 515,131.21, 772,647.54 and 315,348.76

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Solution

The fourth proportional to 515,131.21, 772,647.54 and 315,348.76 is: 472,992.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,131.21 : 772,647.54 = 315,348.76 : x
  2. Step 2: Convert to fraction form
    515,131.21/772,647.54 = 315,348.76/x
  3. Step 3: Cross multiply
    515,131.21x = 772,647.54 × 315,348.76
  4. Step 4: Simplify right side
    515,131.21x = 243,653,443,656.05
  5. Step 5: Solve for x
    x = 243,653,443,656.05/515,131.21
  6. Step 6: Final answer
    x = 472,992.98

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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.