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Finding the Fourth Proportional to 284,838.69, 392,988.60 and 189,361.56

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Solution

The fourth proportional to 284,838.69, 392,988.60 and 189,361.56 is: 261,259.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,838.69 : 392,988.60 = 189,361.56 : x
  2. Step 2: Convert to fraction form
    284,838.69/392,988.60 = 189,361.56/x
  3. Step 3: Cross multiply
    284,838.69x = 392,988.60 × 189,361.56
  4. Step 4: Simplify right side
    284,838.69x = 74,416,934,358.22
  5. Step 5: Solve for x
    x = 74,416,934,358.22/284,838.69
  6. Step 6: Final answer
    x = 261,259.92

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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.