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Finding the Fourth Proportional to 413,760, 570,988.80 and 234,912

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Solution

The fourth proportional to 413,760, 570,988.80 and 234,912 is: 324,178.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,760 : 570,988.80 = 234,912 : x
  2. Step 2: Convert to fraction form
    413,760/570,988.80 = 234,912/x
  3. Step 3: Cross multiply
    413,760x = 570,988.80 × 234,912
  4. Step 4: Simplify right side
    413,760x = 134,132,120,985.60
  5. Step 5: Solve for x
    x = 134,132,120,985.60/413,760
  6. Step 6: Final answer
    x = 324,178.56

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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.