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Finding the Fourth Proportional to 421,084.53, 631,658.93 and 140,601.78

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Solution

The fourth proportional to 421,084.53, 631,658.93 and 140,601.78 is: 210,913.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,084.53 : 631,658.93 = 140,601.78 : x
  2. Step 2: Convert to fraction form
    421,084.53/631,658.93 = 140,601.78/x
  3. Step 3: Cross multiply
    421,084.53x = 631,658.93 × 140,601.78
  4. Step 4: Simplify right side
    421,084.53x = 88,812,369,207.89
  5. Step 5: Solve for x
    x = 88,812,369,207.89/421,084.53
  6. Step 6: Final answer
    x = 210,913.40

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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.