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Finding the Fourth Proportional to 421,353.47, 632,093.14 and 155,093.74

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Solution

The fourth proportional to 421,353.47, 632,093.14 and 155,093.74 is: 232,663.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,353.47 : 632,093.14 = 155,093.74 : x
  2. Step 2: Convert to fraction form
    421,353.47/632,093.14 = 155,093.74/x
  3. Step 3: Cross multiply
    421,353.47x = 632,093.14 × 155,093.74
  4. Step 4: Simplify right side
    421,353.47x = 98,033,689,110.94
  5. Step 5: Solve for x
    x = 98,033,689,110.94/421,353.47
  6. Step 6: Final answer
    x = 232,663.78

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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.