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Finding the Fourth Proportional to 418,997.07, 578,228.02 and 228,022.56

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Solution

The fourth proportional to 418,997.07, 578,228.02 and 228,022.56 is: 314,677.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,997.07 : 578,228.02 = 228,022.56 : x
  2. Step 2: Convert to fraction form
    418,997.07/578,228.02 = 228,022.56/x
  3. Step 3: Cross multiply
    418,997.07x = 578,228.02 × 228,022.56
  4. Step 4: Simplify right side
    418,997.07x = 131,849,032,814.08
  5. Step 5: Solve for x
    x = 131,849,032,814.08/418,997.07
  6. Step 6: Final answer
    x = 314,677.70

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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.