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Finding the Fourth Proportional to 519,307.20, 778,887.90 and 164,357.10

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Solution

The fourth proportional to 519,307.20, 778,887.90 and 164,357.10 is: 246,512.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,307.20 : 778,887.90 = 164,357.10 : x
  2. Step 2: Convert to fraction form
    519,307.20/778,887.90 = 164,357.10/x
  3. Step 3: Cross multiply
    519,307.20x = 778,887.90 × 164,357.10
  4. Step 4: Simplify right side
    519,307.20x = 128,015,756,469.09
  5. Step 5: Solve for x
    x = 128,015,756,469.09/519,307.20
  6. Step 6: Final answer
    x = 246,512.58

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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.