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Finding the Fourth Proportional to 512,044.17, 767,828.52 and 298,873.64

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Solution

The fourth proportional to 512,044.17, 767,828.52 and 298,873.64 is: 448,171.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,044.17 : 767,828.52 = 298,873.64 : x
  2. Step 2: Convert to fraction form
    512,044.17/767,828.52 = 298,873.64/x
  3. Step 3: Cross multiply
    512,044.17x = 767,828.52 × 298,873.64
  4. Step 4: Simplify right side
    512,044.17x = 229,483,700,829.07
  5. Step 5: Solve for x
    x = 229,483,700,829.07/512,044.17
  6. Step 6: Final answer
    x = 448,171.69

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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.