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Finding the Fourth Proportional to 613,353.78, 920,218.92 and 314,044.50

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Solution

The fourth proportional to 613,353.78, 920,218.92 and 314,044.50 is: 471,163.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,353.78 : 920,218.92 = 314,044.50 : x
  2. Step 2: Convert to fraction form
    613,353.78/920,218.92 = 314,044.50/x
  3. Step 3: Cross multiply
    613,353.78x = 920,218.92 × 314,044.50
  4. Step 4: Simplify right side
    613,353.78x = 288,989,690,621.94
  5. Step 5: Solve for x
    x = 288,989,690,621.94/613,353.78
  6. Step 6: Final answer
    x = 471,163.14

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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.