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Finding the Fourth Proportional to 475,072.24, 712,591.08 and 142,639.60

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Solution

The fourth proportional to 475,072.24, 712,591.08 and 142,639.60 is: 213,954.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,072.24 : 712,591.08 = 142,639.60 : x
  2. Step 2: Convert to fraction form
    475,072.24/712,591.08 = 142,639.60/x
  3. Step 3: Cross multiply
    475,072.24x = 712,591.08 × 142,639.60
  4. Step 4: Simplify right side
    475,072.24x = 101,643,706,614.77
  5. Step 5: Solve for x
    x = 101,643,706,614.77/475,072.24
  6. Step 6: Final answer
    x = 213,954.21

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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.