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Finding the Fourth Proportional to 418,354.84, 577,333.50 and 227,368.72

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Solution

The fourth proportional to 418,354.84, 577,333.50 and 227,368.72 is: 313,770.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,354.84 : 577,333.50 = 227,368.72 : x
  2. Step 2: Convert to fraction form
    418,354.84/577,333.50 = 227,368.72/x
  3. Step 3: Cross multiply
    418,354.84x = 577,333.50 × 227,368.72
  4. Step 4: Simplify right side
    418,354.84x = 131,267,578,908.12
  5. Step 5: Solve for x
    x = 131,267,578,908.12/418,354.84
  6. Step 6: Final answer
    x = 313,770.91

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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.