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Finding the Fourth Proportional to 502,043.61, 692,649.09 and 320,860.06

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Solution

The fourth proportional to 502,043.61, 692,649.09 and 320,860.06 is: 442,677.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,043.61 : 692,649.09 = 320,860.06 : x
  2. Step 2: Convert to fraction form
    502,043.61/692,649.09 = 320,860.06/x
  3. Step 3: Cross multiply
    502,043.61x = 692,649.09 × 320,860.06
  4. Step 4: Simplify right side
    502,043.61x = 222,243,426,972.05
  5. Step 5: Solve for x
    x = 222,243,426,972.05/502,043.61
  6. Step 6: Final answer
    x = 442,677.53

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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.