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Finding the Fourth Proportional to 404,865.90, 606,910.05 and 314,858.70

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Solution

The fourth proportional to 404,865.90, 606,910.05 and 314,858.70 is: 471,985.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,865.90 : 606,910.05 = 314,858.70 : x
  2. Step 2: Convert to fraction form
    404,865.90/606,910.05 = 314,858.70/x
  3. Step 3: Cross multiply
    404,865.90x = 606,910.05 × 314,858.70
  4. Step 4: Simplify right side
    404,865.90x = 191,090,909,359.94
  5. Step 5: Solve for x
    x = 191,090,909,359.94/404,865.90
  6. Step 6: Final answer
    x = 471,985.69

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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.