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Finding the Fourth Proportional to 389,597.34, 584,429.40 and 136,855.86

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Solution

The fourth proportional to 389,597.34, 584,429.40 and 136,855.86 is: 205,295.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,597.34 : 584,429.40 = 136,855.86 : x
  2. Step 2: Convert to fraction form
    389,597.34/584,429.40 = 136,855.86/x
  3. Step 3: Cross multiply
    389,597.34x = 584,429.40 × 136,855.86
  4. Step 4: Simplify right side
    389,597.34x = 79,982,588,146.28
  5. Step 5: Solve for x
    x = 79,982,588,146.28/389,597.34
  6. Step 6: Final answer
    x = 205,295.52

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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.