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Finding the Fourth Proportional to 310,803.60, 428,946.96 and 174,843.30

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Solution

The fourth proportional to 310,803.60, 428,946.96 and 174,843.30 is: 241,305.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,803.60 : 428,946.96 = 174,843.30 : x
  2. Step 2: Convert to fraction form
    310,803.60/428,946.96 = 174,843.30/x
  3. Step 3: Cross multiply
    310,803.60x = 428,946.96 × 174,843.30
  4. Step 4: Simplify right side
    310,803.60x = 74,998,502,011.37
  5. Step 5: Solve for x
    x = 74,998,502,011.37/310,803.60
  6. Step 6: Final answer
    x = 241,305.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.