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Finding the Fourth Proportional to 417,625.81, 576,324 and 226,639.21

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Solution

The fourth proportional to 417,625.81, 576,324 and 226,639.21 is: 312,762.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,625.81 : 576,324 = 226,639.21 : x
  2. Step 2: Convert to fraction form
    417,625.81/576,324 = 226,639.21/x
  3. Step 3: Cross multiply
    417,625.81x = 576,324 × 226,639.21
  4. Step 4: Simplify right side
    417,625.81x = 130,617,616,064.04
  5. Step 5: Solve for x
    x = 130,617,616,064.04/417,625.81
  6. Step 6: Final answer
    x = 312,762.32

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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.