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Finding the Fourth Proportional to 419,030.50, 578,251.01 and 228,039.79

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Solution

The fourth proportional to 419,030.50, 578,251.01 and 228,039.79 is: 314,688.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,030.50 : 578,251.01 = 228,039.79 : x
  2. Step 2: Convert to fraction form
    419,030.50/578,251.01 = 228,039.79/x
  3. Step 3: Cross multiply
    419,030.50x = 578,251.01 × 228,039.79
  4. Step 4: Simplify right side
    419,030.50x = 131,864,238,887.69
  5. Step 5: Solve for x
    x = 131,864,238,887.69/419,030.50
  6. Step 6: Final answer
    x = 314,688.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.