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Finding the Fourth Proportional to 389,786.91, 584,209.49 and 189,807.63

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Solution

The fourth proportional to 389,786.91, 584,209.49 and 189,807.63 is: 284,482.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,786.91 : 584,209.49 = 189,807.63 : x
  2. Step 2: Convert to fraction form
    389,786.91/584,209.49 = 189,807.63/x
  3. Step 3: Cross multiply
    389,786.91x = 584,209.49 × 189,807.63
  4. Step 4: Simplify right side
    389,786.91x = 110,887,417,771.37
  5. Step 5: Solve for x
    x = 110,887,417,771.37/389,786.91
  6. Step 6: Final answer
    x = 284,482.15

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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.