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Finding the Fourth Proportional to 308,782.40, 426,127.36 and 172,815.20

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Solution

The fourth proportional to 308,782.40, 426,127.36 and 172,815.20 is: 238,489.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,782.40 : 426,127.36 = 172,815.20 : x
  2. Step 2: Convert to fraction form
    308,782.40/426,127.36 = 172,815.20/x
  3. Step 3: Cross multiply
    308,782.40x = 426,127.36 × 172,815.20
  4. Step 4: Simplify right side
    308,782.40x = 73,641,284,943.87
  5. Step 5: Solve for x
    x = 73,641,284,943.87/308,782.40
  6. Step 6: Final answer
    x = 238,489.26

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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.