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Finding the Fourth Proportional to 427,788.90, 642,314.16 and 238,618.88

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Solution

The fourth proportional to 427,788.90, 642,314.16 and 238,618.88 is: 358,280.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,788.90 : 642,314.16 = 238,618.88 : x
  2. Step 2: Convert to fraction form
    427,788.90/642,314.16 = 238,618.88/x
  3. Step 3: Cross multiply
    427,788.90x = 642,314.16 × 238,618.88
  4. Step 4: Simplify right side
    427,788.90x = 153,268,285,467.34
  5. Step 5: Solve for x
    x = 153,268,285,467.34/427,788.90
  6. Step 6: Final answer
    x = 358,280.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.