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Finding the Fourth Proportional to 519,320.40, 778,899.60 and 164,421.60

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Solution

The fourth proportional to 519,320.40, 778,899.60 and 164,421.60 is: 246,606.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,320.40 : 778,899.60 = 164,421.60 : x
  2. Step 2: Convert to fraction form
    519,320.40/778,899.60 = 164,421.60/x
  3. Step 3: Cross multiply
    519,320.40x = 778,899.60 × 164,421.60
  4. Step 4: Simplify right side
    519,320.40x = 128,067,918,471.36
  5. Step 5: Solve for x
    x = 128,067,918,471.36/519,320.40
  6. Step 6: Final answer
    x = 246,606.75

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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.