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Finding the Fourth Proportional to 266,460.98, 398,975.24 and 202,978.70

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Solution

The fourth proportional to 266,460.98, 398,975.24 and 202,978.70 is: 303,922.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,460.98 : 398,975.24 = 202,978.70 : x
  2. Step 2: Convert to fraction form
    266,460.98/398,975.24 = 202,978.70/x
  3. Step 3: Cross multiply
    266,460.98x = 398,975.24 × 202,978.70
  4. Step 4: Simplify right side
    266,460.98x = 80,983,475,547.39
  5. Step 5: Solve for x
    x = 80,983,475,547.39/266,460.98
  6. Step 6: Final answer
    x = 303,922.46

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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.