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Finding the Fourth Proportional to 256,402.35, 384,603.80 and 66,862.58

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Solution

The fourth proportional to 256,402.35, 384,603.80 and 66,862.58 is: 100,293.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,402.35 : 384,603.80 = 66,862.58 : x
  2. Step 2: Convert to fraction form
    256,402.35/384,603.80 = 66,862.58/x
  3. Step 3: Cross multiply
    256,402.35x = 384,603.80 × 66,862.58
  4. Step 4: Simplify right side
    256,402.35x = 25,715,600,088.47
  5. Step 5: Solve for x
    x = 25,715,600,088.47/256,402.35
  6. Step 6: Final answer
    x = 100,293.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.