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Finding the Fourth Proportional to 407,640.80, 611,699.34 and 170,963.66

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Solution

The fourth proportional to 407,640.80, 611,699.34 and 170,963.66 is: 256,545.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,640.80 : 611,699.34 = 170,963.66 : x
  2. Step 2: Convert to fraction form
    407,640.80/611,699.34 = 170,963.66/x
  3. Step 3: Cross multiply
    407,640.80x = 611,699.34 × 170,963.66
  4. Step 4: Simplify right side
    407,640.80x = 104,578,357,985.98
  5. Step 5: Solve for x
    x = 104,578,357,985.98/407,640.80
  6. Step 6: Final answer
    x = 256,545.37

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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.