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Finding the Fourth Proportional to 389,715.60, 584,803.80 and 284,269.20

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Solution

The fourth proportional to 389,715.60, 584,803.80 and 284,269.20 is: 426,571.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,715.60 : 584,803.80 = 284,269.20 : x
  2. Step 2: Convert to fraction form
    389,715.60/584,803.80 = 284,269.20/x
  3. Step 3: Cross multiply
    389,715.60x = 584,803.80 × 284,269.20
  4. Step 4: Simplify right side
    389,715.60x = 166,241,708,382.96
  5. Step 5: Solve for x
    x = 166,241,708,382.96/389,715.60
  6. Step 6: Final answer
    x = 426,571.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.