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Finding the Fourth Proportional to 407,895.87, 611,780.58 and 208,363.71

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Solution

The fourth proportional to 407,895.87, 611,780.58 and 208,363.71 is: 312,513.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,895.87 : 611,780.58 = 208,363.71 : x
  2. Step 2: Convert to fraction form
    407,895.87/611,780.58 = 208,363.71/x
  3. Step 3: Cross multiply
    407,895.87x = 611,780.58 × 208,363.71
  4. Step 4: Simplify right side
    407,895.87x = 127,472,871,354.75
  5. Step 5: Solve for x
    x = 127,472,871,354.75/407,895.87
  6. Step 6: Final answer
    x = 312,513.27

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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.