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Finding the Fourth Proportional to 417,782.12, 576,478.50 and 238,899.56

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Solution

The fourth proportional to 417,782.12, 576,478.50 and 238,899.56 is: 329,646.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,782.12 : 576,478.50 = 238,899.56 : x
  2. Step 2: Convert to fraction form
    417,782.12/576,478.50 = 238,899.56/x
  3. Step 3: Cross multiply
    417,782.12x = 576,478.50 × 238,899.56
  4. Step 4: Simplify right side
    417,782.12x = 137,720,459,999.46
  5. Step 5: Solve for x
    x = 137,720,459,999.46/417,782.12
  6. Step 6: Final answer
    x = 329,646.61

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1.5x scale

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.