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Finding the Fourth Proportional to 421,312.65, 581,369.68 and 240,013.78

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Solution

The fourth proportional to 421,312.65, 581,369.68 and 240,013.78 is: 331,195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,312.65 : 581,369.68 = 240,013.78 : x
  2. Step 2: Convert to fraction form
    421,312.65/581,369.68 = 240,013.78/x
  3. Step 3: Cross multiply
    421,312.65x = 581,369.68 × 240,013.78
  4. Step 4: Simplify right side
    421,312.65x = 139,536,733,620.80
  5. Step 5: Solve for x
    x = 139,536,733,620.80/421,312.65
  6. Step 6: Final answer
    x = 331,195.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.