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Finding the Fourth Proportional to 849,951, 1,172,909.16 and 467,979.84

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Solution

The fourth proportional to 849,951, 1,172,909.16 and 467,979.84 is: 645,799.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,951 : 1,172,909.16 = 467,979.84 : x
  2. Step 2: Convert to fraction form
    849,951/1,172,909.16 = 467,979.84/x
  3. Step 3: Cross multiply
    849,951x = 1,172,909.16 × 467,979.84
  4. Step 4: Simplify right side
    849,951x = 548,897,841,031.33
  5. Step 5: Solve for x
    x = 548,897,841,031.33/849,951
  6. Step 6: Final answer
    x = 645,799.39

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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.