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Finding the Fourth Proportional to 426,782.42, 588,774.71 and 256,918.13

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Solution

The fourth proportional to 426,782.42, 588,774.71 and 256,918.13 is: 354,435.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,782.42 : 588,774.71 = 256,918.13 : x
  2. Step 2: Convert to fraction form
    426,782.42/588,774.71 = 256,918.13/x
  3. Step 3: Cross multiply
    426,782.42x = 588,774.71 × 256,918.13
  4. Step 4: Simplify right side
    426,782.42x = 151,266,893,256.03
  5. Step 5: Solve for x
    x = 151,266,893,256.03/426,782.42
  6. Step 6: Final answer
    x = 354,435.63

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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.