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Finding the Fourth Proportional to 502,109.23, 692,566.86 and 320,740.64

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Solution

The fourth proportional to 502,109.23, 692,566.86 and 320,740.64 is: 442,402.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,109.23 : 692,566.86 = 320,740.64 : x
  2. Step 2: Convert to fraction form
    502,109.23/692,566.86 = 320,740.64/x
  3. Step 3: Cross multiply
    502,109.23x = 692,566.86 × 320,740.64
  4. Step 4: Simplify right side
    502,109.23x = 222,134,334,504.25
  5. Step 5: Solve for x
    x = 222,134,334,504.25/502,109.23
  6. Step 6: Final answer
    x = 442,402.41

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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.