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Finding the Fourth Proportional to 421,355.48, 632,096.15 and 155,095.74

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Solution

The fourth proportional to 421,355.48, 632,096.15 and 155,095.74 is: 232,666.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,355.48 : 632,096.15 = 155,095.74 : x
  2. Step 2: Convert to fraction form
    421,355.48/632,096.15 = 155,095.74/x
  3. Step 3: Cross multiply
    421,355.48x = 632,096.15 × 155,095.74
  4. Step 4: Simplify right side
    421,355.48x = 98,035,419,359.92
  5. Step 5: Solve for x
    x = 98,035,419,359.92/421,355.48
  6. Step 6: Final answer
    x = 232,666.77

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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.