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Finding the Fourth Proportional to 540,013.74, 808,262.80 and 397,803.15

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Solution

The fourth proportional to 540,013.74, 808,262.80 and 397,803.15 is: 595,409.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,013.74 : 808,262.80 = 397,803.15 : x
  2. Step 2: Convert to fraction form
    540,013.74/808,262.80 = 397,803.15/x
  3. Step 3: Cross multiply
    540,013.74x = 808,262.80 × 397,803.15
  4. Step 4: Simplify right side
    540,013.74x = 321,529,489,110.96
  5. Step 5: Solve for x
    x = 321,529,489,110.96/540,013.74
  6. Step 6: Final answer
    x = 595,409.83

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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.