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Finding the Fourth Proportional to 418,880.82, 578,052.90 and 227,895.06

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Solution

The fourth proportional to 418,880.82, 578,052.90 and 227,895.06 is: 314,493.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,880.82 : 578,052.90 = 227,895.06 : x
  2. Step 2: Convert to fraction form
    418,880.82/578,052.90 = 227,895.06/x
  3. Step 3: Cross multiply
    418,880.82x = 578,052.90 × 227,895.06
  4. Step 4: Simplify right side
    418,880.82x = 131,735,400,328.67
  5. Step 5: Solve for x
    x = 131,735,400,328.67/418,880.82
  6. Step 6: Final answer
    x = 314,493.75

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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.