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Finding the Fourth Proportional to 316,901.09, 475,031.77 and 198,655.47

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Solution

The fourth proportional to 316,901.09, 475,031.77 and 198,655.47 is: 297,782.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,901.09 : 475,031.77 = 198,655.47 : x
  2. Step 2: Convert to fraction form
    316,901.09/475,031.77 = 198,655.47/x
  3. Step 3: Cross multiply
    316,901.09x = 475,031.77 × 198,655.47
  4. Step 4: Simplify right side
    316,901.09x = 94,367,659,534.28
  5. Step 5: Solve for x
    x = 94,367,659,534.28/316,901.09
  6. Step 6: Final answer
    x = 297,782.69

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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.