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Finding the Fourth Proportional to 270,803.90, 405,917.70 and 102,252.47

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Solution

The fourth proportional to 270,803.90, 405,917.70 and 102,252.47 is: 153,269.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,803.90 : 405,917.70 = 102,252.47 : x
  2. Step 2: Convert to fraction form
    270,803.90/405,917.70 = 102,252.47/x
  3. Step 3: Cross multiply
    270,803.90x = 405,917.70 × 102,252.47
  4. Step 4: Simplify right side
    270,803.90x = 41,506,085,412.13
  5. Step 5: Solve for x
    x = 41,506,085,412.13/270,803.90
  6. Step 6: Final answer
    x = 153,269.90

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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.