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Finding the Fourth Proportional to 312,184.79, 430,522.63 and 207,223.11

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Solution

The fourth proportional to 312,184.79, 430,522.63 and 207,223.11 is: 285,773.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,184.79 : 430,522.63 = 207,223.11 : x
  2. Step 2: Convert to fraction form
    312,184.79/430,522.63 = 207,223.11/x
  3. Step 3: Cross multiply
    312,184.79x = 430,522.63 × 207,223.11
  4. Step 4: Simplify right side
    312,184.79x = 89,214,237,795.92
  5. Step 5: Solve for x
    x = 89,214,237,795.92/312,184.79
  6. Step 6: Final answer
    x = 285,773.82

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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.