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Finding the Fourth Proportional to 354,282.24, 489,045.96 and 259,541.40

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Solution

The fourth proportional to 354,282.24, 489,045.96 and 259,541.40 is: 358,267.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,282.24 : 489,045.96 = 259,541.40 : x
  2. Step 2: Convert to fraction form
    354,282.24/489,045.96 = 259,541.40/x
  3. Step 3: Cross multiply
    354,282.24x = 489,045.96 × 259,541.40
  4. Step 4: Simplify right side
    354,282.24x = 126,927,673,122.74
  5. Step 5: Solve for x
    x = 126,927,673,122.74/354,282.24
  6. Step 6: Final answer
    x = 358,267.11

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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.