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Finding the Fourth Proportional to 354,591.40, 489,399.60 and 211,360.72

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Solution

The fourth proportional to 354,591.40, 489,399.60 and 211,360.72 is: 291,715.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,591.40 : 489,399.60 = 211,360.72 : x
  2. Step 2: Convert to fraction form
    354,591.40/489,399.60 = 211,360.72/x
  3. Step 3: Cross multiply
    354,591.40x = 489,399.60 × 211,360.72
  4. Step 4: Simplify right side
    354,591.40x = 103,439,851,823.71
  5. Step 5: Solve for x
    x = 103,439,851,823.71/354,591.40
  6. Step 6: Final answer
    x = 291,715.62

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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.