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Finding the Fourth Proportional to 284,080.47, 426,283.52 and 115,569.69

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Solution

The fourth proportional to 284,080.47, 426,283.52 and 115,569.69 is: 173,420.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,080.47 : 426,283.52 = 115,569.69 : x
  2. Step 2: Convert to fraction form
    284,080.47/426,283.52 = 115,569.69/x
  3. Step 3: Cross multiply
    284,080.47x = 426,283.52 × 115,569.69
  4. Step 4: Simplify right side
    284,080.47x = 49,265,453,680.66
  5. Step 5: Solve for x
    x = 49,265,453,680.66/284,080.47
  6. Step 6: Final answer
    x = 173,420.77

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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.