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Finding the Fourth Proportional to 389,715.75, 584,590.64 and 123,495.89

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Solution

The fourth proportional to 389,715.75, 584,590.64 and 123,495.89 is: 185,249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,715.75 : 584,590.64 = 123,495.89 : x
  2. Step 2: Convert to fraction form
    389,715.75/584,590.64 = 123,495.89/x
  3. Step 3: Cross multiply
    389,715.75x = 584,590.64 × 123,495.89
  4. Step 4: Simplify right side
    389,715.75x = 72,194,537,832.04
  5. Step 5: Solve for x
    x = 72,194,537,832.04/389,715.75
  6. Step 6: Final answer
    x = 185,249.22

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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.