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Finding the Fourth Proportional to 407,903.98, 611,792.79 and 208,371.82

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Solution

The fourth proportional to 407,903.98, 611,792.79 and 208,371.82 is: 312,525.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,903.98 : 611,792.79 = 208,371.82 : x
  2. Step 2: Convert to fraction form
    407,903.98/611,792.79 = 208,371.82/x
  3. Step 3: Cross multiply
    407,903.98x = 611,792.79 × 208,371.82
  4. Step 4: Simplify right side
    407,903.98x = 127,480,377,115.18
  5. Step 5: Solve for x
    x = 127,480,377,115.18/407,903.98
  6. Step 6: Final answer
    x = 312,525.46

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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.