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Finding the Fourth Proportional to 418,901.13, 578,074.86 and 227,915.28

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Solution

The fourth proportional to 418,901.13, 578,074.86 and 227,915.28 is: 314,518.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,901.13 : 578,074.86 = 227,915.28 : x
  2. Step 2: Convert to fraction form
    418,901.13/578,074.86 = 227,915.28/x
  3. Step 3: Cross multiply
    418,901.13x = 578,074.86 × 227,915.28
  4. Step 4: Simplify right side
    418,901.13x = 131,752,093,577.86
  5. Step 5: Solve for x
    x = 131,752,093,577.86/418,901.13
  6. Step 6: Final answer
    x = 314,518.35

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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.