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Finding the Fourth Proportional to 421,066.34, 631,849.63 and 155,013.67

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Solution

The fourth proportional to 421,066.34, 631,849.63 and 155,013.67 is: 232,612.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,066.34 : 631,849.63 = 155,013.67 : x
  2. Step 2: Convert to fraction form
    421,066.34/631,849.63 = 155,013.67/x
  3. Step 3: Cross multiply
    421,066.34x = 631,849.63 × 155,013.67
  4. Step 4: Simplify right side
    421,066.34x = 97,945,330,034.44
  5. Step 5: Solve for x
    x = 97,945,330,034.44/421,066.34
  6. Step 6: Final answer
    x = 232,612.59

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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.