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Finding the Fourth Proportional to 499,282.80, 749,021.40 and 214,972.80

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Solution

The fourth proportional to 499,282.80, 749,021.40 and 214,972.80 is: 322,501.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,282.80 : 749,021.40 = 214,972.80 : x
  2. Step 2: Convert to fraction form
    499,282.80/749,021.40 = 214,972.80/x
  3. Step 3: Cross multiply
    499,282.80x = 749,021.40 × 214,972.80
  4. Step 4: Simplify right side
    499,282.80x = 161,019,227,617.92
  5. Step 5: Solve for x
    x = 161,019,227,617.92/499,282.80
  6. Step 6: Final answer
    x = 322,501.05

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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.