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Finding the Fourth Proportional to 421,732.86, 632,566.89 and 155,443.74

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Solution

The fourth proportional to 421,732.86, 632,566.89 and 155,443.74 is: 233,153.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,732.86 : 632,566.89 = 155,443.74 : x
  2. Step 2: Convert to fraction form
    421,732.86/632,566.89 = 155,443.74/x
  3. Step 3: Cross multiply
    421,732.86x = 632,566.89 × 155,443.74
  4. Step 4: Simplify right side
    421,732.86x = 98,328,563,181.77
  5. Step 5: Solve for x
    x = 98,328,563,181.77/421,732.86
  6. Step 6: Final answer
    x = 233,153.67

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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.