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Finding the Fourth Proportional to 354,439.94, 489,136.82 and 216,641.16

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Solution

The fourth proportional to 354,439.94, 489,136.82 and 216,641.16 is: 298,970.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,439.94 : 489,136.82 = 216,641.16 : x
  2. Step 2: Convert to fraction form
    354,439.94/489,136.82 = 216,641.16/x
  3. Step 3: Cross multiply
    354,439.94x = 489,136.82 × 216,641.16
  4. Step 4: Simplify right side
    354,439.94x = 105,967,167,000.31
  5. Step 5: Solve for x
    x = 105,967,167,000.31/354,439.94
  6. Step 6: Final answer
    x = 298,970.73

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1.5x scale

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.