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Finding the Fourth Proportional to 616,251.57, 850,349.02 and 361,509.81

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Solution

The fourth proportional to 616,251.57, 850,349.02 and 361,509.81 is: 498,837.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,251.57 : 850,349.02 = 361,509.81 : x
  2. Step 2: Convert to fraction form
    616,251.57/850,349.02 = 361,509.81/x
  3. Step 3: Cross multiply
    616,251.57x = 850,349.02 × 361,509.81
  4. Step 4: Simplify right side
    616,251.57x = 307,409,512,653.89
  5. Step 5: Solve for x
    x = 307,409,512,653.89/616,251.57
  6. Step 6: Final answer
    x = 498,837.69

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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.