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Finding the Fourth Proportional to 274,522.95, 411,248.13 and 189,118.74

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Solution

The fourth proportional to 274,522.95, 411,248.13 and 189,118.74 is: 283,308.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,522.95 : 411,248.13 = 189,118.74 : x
  2. Step 2: Convert to fraction form
    274,522.95/411,248.13 = 189,118.74/x
  3. Step 3: Cross multiply
    274,522.95x = 411,248.13 × 189,118.74
  4. Step 4: Simplify right side
    274,522.95x = 77,774,728,172.96
  5. Step 5: Solve for x
    x = 77,774,728,172.96/274,522.95
  6. Step 6: Final answer
    x = 283,308.66

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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.