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Finding the Fourth Proportional to 288,279.80, 432,421.24 and 189,068.26

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Solution

The fourth proportional to 288,279.80, 432,421.24 and 189,068.26 is: 283,603.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,279.80 : 432,421.24 = 189,068.26 : x
  2. Step 2: Convert to fraction form
    288,279.80/432,421.24 = 189,068.26/x
  3. Step 3: Cross multiply
    288,279.80x = 432,421.24 × 189,068.26
  4. Step 4: Simplify right side
    288,279.80x = 81,757,131,974.37
  5. Step 5: Solve for x
    x = 81,757,131,974.37/288,279.80
  6. Step 6: Final answer
    x = 283,603.40

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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.