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Finding the Fourth Proportional to 229,539.78, 344,851.02 and 135,012.24

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Solution

The fourth proportional to 229,539.78, 344,851.02 and 135,012.24 is: 202,836.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,539.78 : 344,851.02 = 135,012.24 : x
  2. Step 2: Convert to fraction form
    229,539.78/344,851.02 = 135,012.24/x
  3. Step 3: Cross multiply
    229,539.78x = 344,851.02 × 135,012.24
  4. Step 4: Simplify right side
    229,539.78x = 46,559,108,676.48
  5. Step 5: Solve for x
    x = 46,559,108,676.48/229,539.78
  6. Step 6: Final answer
    x = 202,836.77

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1.5x scale

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.