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Finding the Fourth Proportional to 339,931.20, 509,969.70 and 103,297.80

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Solution

The fourth proportional to 339,931.20, 509,969.70 and 103,297.80 is: 154,968.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,931.20 : 509,969.70 = 103,297.80 : x
  2. Step 2: Convert to fraction form
    339,931.20/509,969.70 = 103,297.80/x
  3. Step 3: Cross multiply
    339,931.20x = 509,969.70 × 103,297.80
  4. Step 4: Simplify right side
    339,931.20x = 52,678,748,076.66
  5. Step 5: Solve for x
    x = 52,678,748,076.66/339,931.20
  6. Step 6: Final answer
    x = 154,968.85

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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.