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Finding the Fourth Proportional to 421,572.62, 632,367.13 and 155,196.02

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Solution

The fourth proportional to 421,572.62, 632,367.13 and 155,196.02 is: 232,797.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,572.62 : 632,367.13 = 155,196.02 : x
  2. Step 2: Convert to fraction form
    421,572.62/632,367.13 = 155,196.02/x
  3. Step 3: Cross multiply
    421,572.62x = 632,367.13 × 155,196.02
  4. Step 4: Simplify right side
    421,572.62x = 98,140,861,754.82
  5. Step 5: Solve for x
    x = 98,140,861,754.82/421,572.62
  6. Step 6: Final answer
    x = 232,797.05

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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.