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Finding the Fourth Proportional to 274,521.95, 411,246.63 and 189,117.74

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Solution

The fourth proportional to 274,521.95, 411,246.63 and 189,117.74 is: 283,307.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,521.95 : 411,246.63 = 189,117.74 : x
  2. Step 2: Convert to fraction form
    274,521.95/411,246.63 = 189,117.74/x
  3. Step 3: Cross multiply
    274,521.95x = 411,246.63 × 189,117.74
  4. Step 4: Simplify right side
    274,521.95x = 77,774,033,248.22
  5. Step 5: Solve for x
    x = 77,774,033,248.22/274,521.95
  6. Step 6: Final answer
    x = 283,307.16

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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.