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Finding the Fourth Proportional to 340,295.40, 510,443.10 and 222,100.20

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Solution

The fourth proportional to 340,295.40, 510,443.10 and 222,100.20 is: 333,150.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,295.40 : 510,443.10 = 222,100.20 : x
  2. Step 2: Convert to fraction form
    340,295.40/510,443.10 = 222,100.20/x
  3. Step 3: Cross multiply
    340,295.40x = 510,443.10 × 222,100.20
  4. Step 4: Simplify right side
    340,295.40x = 113,369,514,598.62
  5. Step 5: Solve for x
    x = 113,369,514,598.62/340,295.40
  6. Step 6: Final answer
    x = 333,150.30

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1.5x scale

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.