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Finding the Fourth Proportional to 389,379, 584,131.68 and 152,593.32

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Solution

The fourth proportional to 389,379, 584,131.68 and 152,593.32 is: 228,914.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,379 : 584,131.68 = 152,593.32 : x
  2. Step 2: Convert to fraction form
    389,379/584,131.68 = 152,593.32/x
  3. Step 3: Cross multiply
    389,379x = 584,131.68 × 152,593.32
  4. Step 4: Simplify right side
    389,379x = 89,134,592,368.38
  5. Step 5: Solve for x
    x = 89,134,592,368.38/389,379
  6. Step 6: Final answer
    x = 228,914.74

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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.