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Finding the Fourth Proportional to 314,455.57, 434,079.09 and 237,996

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Solution

The fourth proportional to 314,455.57, 434,079.09 and 237,996 is: 328,533.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,455.57 : 434,079.09 = 237,996 : x
  2. Step 2: Convert to fraction form
    314,455.57/434,079.09 = 237,996/x
  3. Step 3: Cross multiply
    314,455.57x = 434,079.09 × 237,996
  4. Step 4: Simplify right side
    314,455.57x = 103,309,087,103.64
  5. Step 5: Solve for x
    x = 103,309,087,103.64/314,455.57
  6. Step 6: Final answer
    x = 328,533.18

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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.