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Finding the Fourth Proportional to 309,953.60, 464,008.80 and 185,537.60

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Solution

The fourth proportional to 309,953.60, 464,008.80 and 185,537.60 is: 277,754.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,953.60 : 464,008.80 = 185,537.60 : x
  2. Step 2: Convert to fraction form
    309,953.60/464,008.80 = 185,537.60/x
  3. Step 3: Cross multiply
    309,953.60x = 464,008.80 × 185,537.60
  4. Step 4: Simplify right side
    309,953.60x = 86,091,079,130.88
  5. Step 5: Solve for x
    x = 86,091,079,130.88/309,953.60
  6. Step 6: Final answer
    x = 277,754.73

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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.