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Finding the Fourth Proportional to 421,096.68, 631,895.10 and 155,044.12

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Solution

The fourth proportional to 421,096.68, 631,895.10 and 155,044.12 is: 232,658.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,096.68 : 631,895.10 = 155,044.12 : x
  2. Step 2: Convert to fraction form
    421,096.68/631,895.10 = 155,044.12/x
  3. Step 3: Cross multiply
    421,096.68x = 631,895.10 × 155,044.12
  4. Step 4: Simplify right side
    421,096.68x = 97,971,619,711.81
  5. Step 5: Solve for x
    x = 97,971,619,711.81/421,096.68
  6. Step 6: Final answer
    x = 232,658.26

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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.