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Finding the Fourth Proportional to 340,205.40, 510,308.10 and 238,728.60

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Solution

The fourth proportional to 340,205.40, 510,308.10 and 238,728.60 is: 358,092.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,205.40 : 510,308.10 = 238,728.60 : x
  2. Step 2: Convert to fraction form
    340,205.40/510,308.10 = 238,728.60/x
  3. Step 3: Cross multiply
    340,205.40x = 510,308.10 × 238,728.60
  4. Step 4: Simplify right side
    340,205.40x = 121,825,138,281.66
  5. Step 5: Solve for x
    x = 121,825,138,281.66/340,205.40
  6. Step 6: Final answer
    x = 358,092.90

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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.