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Finding the Fourth Proportional to 427,764.80, 590,320.64 and 236,795.84

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Solution

The fourth proportional to 427,764.80, 590,320.64 and 236,795.84 is: 326,781.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,764.80 : 590,320.64 = 236,795.84 : x
  2. Step 2: Convert to fraction form
    427,764.80/590,320.64 = 236,795.84/x
  3. Step 3: Cross multiply
    427,764.80x = 590,320.64 × 236,795.84
  4. Step 4: Simplify right side
    427,764.80x = 139,785,471,818.14
  5. Step 5: Solve for x
    x = 139,785,471,818.14/427,764.80
  6. Step 6: Final answer
    x = 326,781.15

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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.