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Finding the Fourth Proportional to 502,135.16, 692,602.52 and 320,766.57

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Solution

The fourth proportional to 502,135.16, 692,602.52 and 320,766.57 is: 442,438.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,135.16 : 692,602.52 = 320,766.57 : x
  2. Step 2: Convert to fraction form
    502,135.16/692,602.52 = 320,766.57/x
  3. Step 3: Cross multiply
    502,135.16x = 692,602.52 × 320,766.57
  4. Step 4: Simplify right side
    502,135.16x = 222,163,733,109.92
  5. Step 5: Solve for x
    x = 222,163,733,109.92/502,135.16
  6. Step 6: Final answer
    x = 442,438.12

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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.