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Finding the Fourth Proportional to 427,892.09, 590,500.08 and 234,307.94

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Solution

The fourth proportional to 427,892.09, 590,500.08 and 234,307.94 is: 323,349.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,892.09 : 590,500.08 = 234,307.94 : x
  2. Step 2: Convert to fraction form
    427,892.09/590,500.08 = 234,307.94/x
  3. Step 3: Cross multiply
    427,892.09x = 590,500.08 × 234,307.94
  4. Step 4: Simplify right side
    427,892.09x = 138,358,854,362.14
  5. Step 5: Solve for x
    x = 138,358,854,362.14/427,892.09
  6. Step 6: Final answer
    x = 323,349.88

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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.