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Finding the Fourth Proportional to 389,650.80, 583,492.05 and 310,918.80

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Solution

The fourth proportional to 389,650.80, 583,492.05 and 310,918.80 is: 465,592.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,650.80 : 583,492.05 = 310,918.80 : x
  2. Step 2: Convert to fraction form
    389,650.80/583,492.05 = 310,918.80/x
  3. Step 3: Cross multiply
    389,650.80x = 583,492.05 × 310,918.80
  4. Step 4: Simplify right side
    389,650.80x = 181,418,647,995.54
  5. Step 5: Solve for x
    x = 181,418,647,995.54/389,650.80
  6. Step 6: Final answer
    x = 465,592.91

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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.