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Finding the Fourth Proportional to 402,906.40, 604,359.60 and 122,387.20

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Solution

The fourth proportional to 402,906.40, 604,359.60 and 122,387.20 is: 183,580.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,906.40 : 604,359.60 = 122,387.20 : x
  2. Step 2: Convert to fraction form
    402,906.40/604,359.60 = 122,387.20/x
  3. Step 3: Cross multiply
    402,906.40x = 604,359.60 × 122,387.20
  4. Step 4: Simplify right side
    402,906.40x = 73,965,879,237.12
  5. Step 5: Solve for x
    x = 73,965,879,237.12/402,906.40
  6. Step 6: Final answer
    x = 183,580.80

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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.