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Finding the Fourth Proportional to 364,314.78, 542,809.28 and 343,942.88

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Solution

The fourth proportional to 364,314.78, 542,809.28 and 343,942.88 is: 512,456.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,314.78 : 542,809.28 = 343,942.88 : x
  2. Step 2: Convert to fraction form
    364,314.78/542,809.28 = 343,942.88/x
  3. Step 3: Cross multiply
    364,314.78x = 542,809.28 × 343,942.88
  4. Step 4: Simplify right side
    364,314.78x = 186,695,385,199.74
  5. Step 5: Solve for x
    x = 186,695,385,199.74/364,314.78
  6. Step 6: Final answer
    x = 512,456.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.