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Finding the Fourth Proportional to 512,995.48, 708,387.69 and 319,733.02

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Solution

The fourth proportional to 512,995.48, 708,387.69 and 319,733.02 is: 441,514.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,995.48 : 708,387.69 = 319,733.02 : x
  2. Step 2: Convert to fraction form
    512,995.48/708,387.69 = 319,733.02/x
  3. Step 3: Cross multiply
    512,995.48x = 708,387.69 × 319,733.02
  4. Step 4: Simplify right side
    512,995.48x = 226,494,935,454.52
  5. Step 5: Solve for x
    x = 226,494,935,454.52/512,995.48
  6. Step 6: Final answer
    x = 441,514.49

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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.