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Finding the Fourth Proportional to 421,731.36, 632,564.64 and 155,442.24

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Solution

The fourth proportional to 421,731.36, 632,564.64 and 155,442.24 is: 233,151.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,731.36 : 632,564.64 = 155,442.24 : x
  2. Step 2: Convert to fraction form
    421,731.36/632,564.64 = 155,442.24/x
  3. Step 3: Cross multiply
    421,731.36x = 632,564.64 × 155,442.24
  4. Step 4: Simplify right side
    421,731.36x = 98,327,264,586.39
  5. Step 5: Solve for x
    x = 98,327,264,586.39/421,731.36
  6. Step 6: Final answer
    x = 233,151.42

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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.