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Finding the Fourth Proportional to 507,413.30, 761,191.02 and 207,936.45

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Solution

The fourth proportional to 507,413.30, 761,191.02 and 207,936.45 is: 311,933.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,413.30 : 761,191.02 = 207,936.45 : x
  2. Step 2: Convert to fraction form
    507,413.30/761,191.02 = 207,936.45/x
  3. Step 3: Cross multiply
    507,413.30x = 761,191.02 × 207,936.45
  4. Step 4: Simplify right side
    507,413.30x = 158,279,358,470.68
  5. Step 5: Solve for x
    x = 158,279,358,470.68/507,413.30
  6. Step 6: Final answer
    x = 311,933.80

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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.