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Finding the Fourth Proportional to 417,712.40, 576,427.64 and 226,721.70

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Solution

The fourth proportional to 417,712.40, 576,427.64 and 226,721.70 is: 312,867.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,712.40 : 576,427.64 = 226,721.70 : x
  2. Step 2: Convert to fraction form
    417,712.40/576,427.64 = 226,721.70/x
  3. Step 3: Cross multiply
    417,712.40x = 576,427.64 × 226,721.70
  4. Step 4: Simplify right side
    417,712.40x = 130,688,654,467.79
  5. Step 5: Solve for x
    x = 130,688,654,467.79/417,712.40
  6. Step 6: Final answer
    x = 312,867.55

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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.