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Finding the Fourth Proportional to 426,781.84, 588,459.36 and 290,896.24

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Solution

The fourth proportional to 426,781.84, 588,459.36 and 290,896.24 is: 401,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,781.84 : 588,459.36 = 290,896.24 : x
  2. Step 2: Convert to fraction form
    426,781.84/588,459.36 = 290,896.24/x
  3. Step 3: Cross multiply
    426,781.84x = 588,459.36 × 290,896.24
  4. Step 4: Simplify right side
    426,781.84x = 171,180,615,216.81
  5. Step 5: Solve for x
    x = 171,180,615,216.81/426,781.84
  6. Step 6: Final answer
    x = 401,096.30

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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.