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Finding the Fourth Proportional to 354,509.34, 489,135.42 and 216,653.10

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Solution

The fourth proportional to 354,509.34, 489,135.42 and 216,653.10 is: 298,927.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,509.34 : 489,135.42 = 216,653.10 : x
  2. Step 2: Convert to fraction form
    354,509.34/489,135.42 = 216,653.10/x
  3. Step 3: Cross multiply
    354,509.34x = 489,135.42 × 216,653.10
  4. Step 4: Simplify right side
    354,509.34x = 105,972,705,062.80
  5. Step 5: Solve for x
    x = 105,972,705,062.80/354,509.34
  6. Step 6: Final answer
    x = 298,927.82

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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.