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Finding the Fourth Proportional to 389,416.70, 584,125.05 and 179,464.70

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Solution

The fourth proportional to 389,416.70, 584,125.05 and 179,464.70 is: 269,197.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,416.70 : 584,125.05 = 179,464.70 : x
  2. Step 2: Convert to fraction form
    389,416.70/584,125.05 = 179,464.70/x
  3. Step 3: Cross multiply
    389,416.70x = 584,125.05 × 179,464.70
  4. Step 4: Simplify right side
    389,416.70x = 104,829,826,860.74
  5. Step 5: Solve for x
    x = 104,829,826,860.74/389,416.70
  6. Step 6: Final answer
    x = 269,197.05

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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.