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Finding the Fourth Proportional to 338,903.34, 507,553.52 and 294,287.64

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Solution

The fourth proportional to 338,903.34, 507,553.52 and 294,287.64 is: 440,735.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,903.34 : 507,553.52 = 294,287.64 : x
  2. Step 2: Convert to fraction form
    338,903.34/507,553.52 = 294,287.64/x
  3. Step 3: Cross multiply
    338,903.34x = 507,553.52 × 294,287.64
  4. Step 4: Simplify right side
    338,903.34x = 149,366,727,574.49
  5. Step 5: Solve for x
    x = 149,366,727,574.49/338,903.34
  6. Step 6: Final answer
    x = 440,735.48

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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.