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Finding the Fourth Proportional to 498,083.78, 687,352.36 and 283,223.86

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Solution

The fourth proportional to 498,083.78, 687,352.36 and 283,223.86 is: 390,847.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,083.78 : 687,352.36 = 283,223.86 : x
  2. Step 2: Convert to fraction form
    498,083.78/687,352.36 = 283,223.86/x
  3. Step 3: Cross multiply
    498,083.78x = 687,352.36 × 283,223.86
  4. Step 4: Simplify right side
    498,083.78x = 194,674,588,579.31
  5. Step 5: Solve for x
    x = 194,674,588,579.31/498,083.78
  6. Step 6: Final answer
    x = 390,847.08

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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.