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Finding the Fourth Proportional to 499,657, 689,536.40 and 273,307.36

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Solution

The fourth proportional to 499,657, 689,536.40 and 273,307.36 is: 377,169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,657 : 689,536.40 = 273,307.36 : x
  2. Step 2: Convert to fraction form
    499,657/689,536.40 = 273,307.36/x
  3. Step 3: Cross multiply
    499,657x = 689,536.40 × 273,307.36
  4. Step 4: Simplify right side
    499,657x = 188,455,373,107.90
  5. Step 5: Solve for x
    x = 188,455,373,107.90/499,657
  6. Step 6: Final answer
    x = 377,169.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.