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Finding the Fourth Proportional to 418,994.97, 578,215.02 and 228,010.33

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Solution

The fourth proportional to 418,994.97, 578,215.02 and 228,010.33 is: 314,655.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,994.97 : 578,215.02 = 228,010.33 : x
  2. Step 2: Convert to fraction form
    418,994.97/578,215.02 = 228,010.33/x
  3. Step 3: Cross multiply
    418,994.97x = 578,215.02 × 228,010.33
  4. Step 4: Simplify right side
    418,994.97x = 131,838,997,521.16
  5. Step 5: Solve for x
    x = 131,838,997,521.16/418,994.97
  6. Step 6: Final answer
    x = 314,655.32

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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.