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Finding the Fourth Proportional to 499,255.83, 688,972.59 and 269,812.98

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Solution

The fourth proportional to 499,255.83, 688,972.59 and 269,812.98 is: 372,341.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,255.83 : 688,972.59 = 269,812.98 : x
  2. Step 2: Convert to fraction form
    499,255.83/688,972.59 = 269,812.98/x
  3. Step 3: Cross multiply
    499,255.83x = 688,972.59 × 269,812.98
  4. Step 4: Simplify right side
    499,255.83x = 185,893,747,646.22
  5. Step 5: Solve for x
    x = 185,893,747,646.22/499,255.83
  6. Step 6: Final answer
    x = 372,341.67

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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.