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Finding the Fourth Proportional to 354,387.24, 489,036.66 and 201,405.24

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Solution

The fourth proportional to 354,387.24, 489,036.66 and 201,405.24 is: 277,929.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,387.24 : 489,036.66 = 201,405.24 : x
  2. Step 2: Convert to fraction form
    354,387.24/489,036.66 = 201,405.24/x
  3. Step 3: Cross multiply
    354,387.24x = 489,036.66 × 201,405.24
  4. Step 4: Simplify right side
    354,387.24x = 98,494,545,876.10
  5. Step 5: Solve for x
    x = 98,494,545,876.10/354,387.24
  6. Step 6: Final answer
    x = 277,929.15

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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.