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Finding the Fourth Proportional to 289,316.72, 399,164.81 and 187,420.29

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Solution

The fourth proportional to 289,316.72, 399,164.81 and 187,420.29 is: 258,580.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,316.72 : 399,164.81 = 187,420.29 : x
  2. Step 2: Convert to fraction form
    289,316.72/399,164.81 = 187,420.29/x
  3. Step 3: Cross multiply
    289,316.72x = 399,164.81 × 187,420.29
  4. Step 4: Simplify right side
    289,316.72x = 74,811,583,510.89
  5. Step 5: Solve for x
    x = 74,811,583,510.89/289,316.72
  6. Step 6: Final answer
    x = 258,580.23

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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.