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Finding the Fourth Proportional to 377,806.68, 521,377.02 and 208,041.48

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Solution

The fourth proportional to 377,806.68, 521,377.02 and 208,041.48 is: 287,099.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,806.68 : 521,377.02 = 208,041.48 : x
  2. Step 2: Convert to fraction form
    377,806.68/521,377.02 = 208,041.48/x
  3. Step 3: Cross multiply
    377,806.68x = 521,377.02 × 208,041.48
  4. Step 4: Simplify right side
    377,806.68x = 108,468,046,878.79
  5. Step 5: Solve for x
    x = 108,468,046,878.79/377,806.68
  6. Step 6: Final answer
    x = 287,099.34

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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.