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Finding the Fourth Proportional to 426,071.40, 587,978.08 and 235,084.77

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Solution

The fourth proportional to 426,071.40, 587,978.08 and 235,084.77 is: 324,416.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,071.40 : 587,978.08 = 235,084.77 : x
  2. Step 2: Convert to fraction form
    426,071.40/587,978.08 = 235,084.77/x
  3. Step 3: Cross multiply
    426,071.40x = 587,978.08 × 235,084.77
  4. Step 4: Simplify right side
    426,071.40x = 138,224,691,701.84
  5. Step 5: Solve for x
    x = 138,224,691,701.84/426,071.40
  6. Step 6: Final answer
    x = 324,416.73

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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.