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Finding the Fourth Proportional to 253,531.76, 380,671.44 and 141,431

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Solution

The fourth proportional to 253,531.76, 380,671.44 and 141,431 is: 212,355.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,531.76 : 380,671.44 = 141,431 : x
  2. Step 2: Convert to fraction form
    253,531.76/380,671.44 = 141,431/x
  3. Step 3: Cross multiply
    253,531.76x = 380,671.44 × 141,431
  4. Step 4: Simplify right side
    253,531.76x = 53,838,742,430.64
  5. Step 5: Solve for x
    x = 53,838,742,430.64/253,531.76
  6. Step 6: Final answer
    x = 212,355.02

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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.