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Finding the Fourth Proportional to 340,002.80, 508,967.40 and 199,343.60

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Solution

The fourth proportional to 340,002.80, 508,967.40 and 199,343.60 is: 298,407.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,002.80 : 508,967.40 = 199,343.60 : x
  2. Step 2: Convert to fraction form
    340,002.80/508,967.40 = 199,343.60/x
  3. Step 3: Cross multiply
    340,002.80x = 508,967.40 × 199,343.60
  4. Step 4: Simplify right side
    340,002.80x = 101,459,393,798.64
  5. Step 5: Solve for x
    x = 101,459,393,798.64/340,002.80
  6. Step 6: Final answer
    x = 298,407.52

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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.