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Finding the Fourth Proportional to 280,089.15, 419,918.38 and 145,008.42

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Solution

The fourth proportional to 280,089.15, 419,918.38 and 145,008.42 is: 217,401.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,089.15 : 419,918.38 = 145,008.42 : x
  2. Step 2: Convert to fraction form
    280,089.15/419,918.38 = 145,008.42/x
  3. Step 3: Cross multiply
    280,089.15x = 419,918.38 × 145,008.42
  4. Step 4: Simplify right side
    280,089.15x = 60,891,700,812.76
  5. Step 5: Solve for x
    x = 60,891,700,812.76/280,089.15
  6. Step 6: Final answer
    x = 217,401.14

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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.