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Finding the Fourth Proportional to 407,901.90, 611,789.58 and 208,369.74

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Solution

The fourth proportional to 407,901.90, 611,789.58 and 208,369.74 is: 312,522.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,901.90 : 611,789.58 = 208,369.74 : x
  2. Step 2: Convert to fraction form
    407,901.90/611,789.58 = 208,369.74/x
  3. Step 3: Cross multiply
    407,901.90x = 611,789.58 × 208,369.74
  4. Step 4: Simplify right side
    407,901.90x = 127,478,435,719.31
  5. Step 5: Solve for x
    x = 127,478,435,719.31/407,901.90
  6. Step 6: Final answer
    x = 312,522.29

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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.