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Finding the Fourth Proportional to 512,407.52, 707,072.64 and 351,400.64

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Solution

The fourth proportional to 512,407.52, 707,072.64 and 351,400.64 is: 484,898.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,407.52 : 707,072.64 = 351,400.64 : x
  2. Step 2: Convert to fraction form
    512,407.52/707,072.64 = 351,400.64/x
  3. Step 3: Cross multiply
    512,407.52x = 707,072.64 × 351,400.64
  4. Step 4: Simplify right side
    512,407.52x = 248,465,778,222.49
  5. Step 5: Solve for x
    x = 248,465,778,222.49/512,407.52
  6. Step 6: Final answer
    x = 484,898.77

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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.