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Finding the Fourth Proportional to 440,194.50, 660,516.94 and 209,644.50

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Solution

The fourth proportional to 440,194.50, 660,516.94 and 209,644.50 is: 314,574.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,194.50 : 660,516.94 = 209,644.50 : x
  2. Step 2: Convert to fraction form
    440,194.50/660,516.94 = 209,644.50/x
  3. Step 3: Cross multiply
    440,194.50x = 660,516.94 × 209,644.50
  4. Step 4: Simplify right side
    440,194.50x = 138,473,746,366.82
  5. Step 5: Solve for x
    x = 138,473,746,366.82/440,194.50
  6. Step 6: Final answer
    x = 314,574.00

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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.