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Finding the Fourth Proportional to 616,499.64, 850,775.40 and 361,855.08

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Solution

The fourth proportional to 616,499.64, 850,775.40 and 361,855.08 is: 499,363.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,499.64 : 850,775.40 = 361,855.08 : x
  2. Step 2: Convert to fraction form
    616,499.64/850,775.40 = 361,855.08/x
  3. Step 3: Cross multiply
    616,499.64x = 850,775.40 × 361,855.08
  4. Step 4: Simplify right side
    616,499.64x = 307,857,400,429.03
  5. Step 5: Solve for x
    x = 307,857,400,429.03/616,499.64
  6. Step 6: Final answer
    x = 499,363.47

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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.