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Finding the Fourth Proportional to 289,316.86, 399,165 and 187,420.43

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Solution

The fourth proportional to 289,316.86, 399,165 and 187,420.43 is: 258,580.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,316.86 : 399,165 = 187,420.43 : x
  2. Step 2: Convert to fraction form
    289,316.86/399,165 = 187,420.43/x
  3. Step 3: Cross multiply
    289,316.86x = 399,165 × 187,420.43
  4. Step 4: Simplify right side
    289,316.86x = 74,811,676,938.86
  5. Step 5: Solve for x
    x = 74,811,676,938.86/289,316.86
  6. Step 6: Final answer
    x = 258,580.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.