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Finding the Fourth Proportional to 390,401.80, 584,727.90 and 311,669.80

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Solution

The fourth proportional to 390,401.80, 584,727.90 and 311,669.80 is: 466,806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,401.80 : 584,727.90 = 311,669.80 : x
  2. Step 2: Convert to fraction form
    390,401.80/584,727.90 = 311,669.80/x
  3. Step 3: Cross multiply
    390,401.80x = 584,727.90 × 311,669.80
  4. Step 4: Simplify right side
    390,401.80x = 182,242,027,647.42
  5. Step 5: Solve for x
    x = 182,242,027,647.42/390,401.80
  6. Step 6: Final answer
    x = 466,806.32

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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.