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Finding the Fourth Proportional to 309,970.26, 427,648.95 and 202,602.29

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Solution

The fourth proportional to 309,970.26, 427,648.95 and 202,602.29 is: 279,519.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,970.26 : 427,648.95 = 202,602.29 : x
  2. Step 2: Convert to fraction form
    309,970.26/427,648.95 = 202,602.29/x
  3. Step 3: Cross multiply
    309,970.26x = 427,648.95 × 202,602.29
  4. Step 4: Simplify right side
    309,970.26x = 86,642,654,447.85
  5. Step 5: Solve for x
    x = 86,642,654,447.85/309,970.26
  6. Step 6: Final answer
    x = 279,519.25

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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.