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Finding the Fourth Proportional to 418,878.95, 578,050.31 and 227,893.19

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Solution

The fourth proportional to 418,878.95, 578,050.31 and 227,893.19 is: 314,491.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,878.95 : 578,050.31 = 227,893.19 : x
  2. Step 2: Convert to fraction form
    418,878.95/578,050.31 = 227,893.19/x
  3. Step 3: Cross multiply
    418,878.95x = 578,050.31 × 227,893.19
  4. Step 4: Simplify right side
    418,878.95x = 131,733,726,805.87
  5. Step 5: Solve for x
    x = 131,733,726,805.87/418,878.95
  6. Step 6: Final answer
    x = 314,491.16

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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.