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Finding the Fourth Proportional to 506,998.20, 760,209.34 and 207,127.70

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Solution

The fourth proportional to 506,998.20, 760,209.34 and 207,127.70 is: 310,573.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,998.20 : 760,209.34 = 207,127.70 : x
  2. Step 2: Convert to fraction form
    506,998.20/760,209.34 = 207,127.70/x
  3. Step 3: Cross multiply
    506,998.20x = 760,209.34 × 207,127.70
  4. Step 4: Simplify right side
    506,998.20x = 157,460,412,112.72
  5. Step 5: Solve for x
    x = 157,460,412,112.72/506,998.20
  6. Step 6: Final answer
    x = 310,573.91

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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.