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Finding the Fourth Proportional to 425,419.81, 587,071.73 and 231,829.20

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Solution

The fourth proportional to 425,419.81, 587,071.73 and 231,829.20 is: 319,920.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,419.81 : 587,071.73 = 231,829.20 : x
  2. Step 2: Convert to fraction form
    425,419.81/587,071.73 = 231,829.20/x
  3. Step 3: Cross multiply
    425,419.81x = 587,071.73 × 231,829.20
  4. Step 4: Simplify right side
    425,419.81x = 136,100,370,088.09
  5. Step 5: Solve for x
    x = 136,100,370,088.09/425,419.81
  6. Step 6: Final answer
    x = 319,920.15

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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.