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Finding the Fourth Proportional to 421,356.54, 632,097.83 and 155,096.77

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Solution

The fourth proportional to 421,356.54, 632,097.83 and 155,096.77 is: 232,668.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,356.54 : 632,097.83 = 155,096.77 : x
  2. Step 2: Convert to fraction form
    421,356.54/632,097.83 = 155,096.77/x
  3. Step 3: Cross multiply
    421,356.54x = 632,097.83 × 155,096.77
  4. Step 4: Simplify right side
    421,356.54x = 98,036,331,757.01
  5. Step 5: Solve for x
    x = 98,036,331,757.01/421,356.54
  6. Step 6: Final answer
    x = 232,668.35

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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.