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Finding the Fourth Proportional to 417,457, 576,090.66 and 238,612.84

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Solution

The fourth proportional to 417,457, 576,090.66 and 238,612.84 is: 329,285.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,457 : 576,090.66 = 238,612.84 : x
  2. Step 2: Convert to fraction form
    417,457/576,090.66 = 238,612.84/x
  3. Step 3: Cross multiply
    417,457x = 576,090.66 × 238,612.84
  4. Step 4: Simplify right side
    417,457x = 137,462,628,480.07
  5. Step 5: Solve for x
    x = 137,462,628,480.07/417,457
  6. Step 6: Final answer
    x = 329,285.72

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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.