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Finding the Fourth Proportional to 402,921.44, 604,403.74 and 103,404.60

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Solution

The fourth proportional to 402,921.44, 604,403.74 and 103,404.60 is: 155,112.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,921.44 : 604,403.74 = 103,404.60 : x
  2. Step 2: Convert to fraction form
    402,921.44/604,403.74 = 103,404.60/x
  3. Step 3: Cross multiply
    402,921.44x = 604,403.74 × 103,404.60
  4. Step 4: Simplify right side
    402,921.44x = 62,498,126,973.20
  5. Step 5: Solve for x
    x = 62,498,126,973.20/402,921.44
  6. Step 6: Final answer
    x = 155,112.44

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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.