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Finding the Fourth Proportional to 502,089.98, 692,627.96 and 320,611.10

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Solution

The fourth proportional to 502,089.98, 692,627.96 and 320,611.10 is: 442,279.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,089.98 : 692,627.96 = 320,611.10 : x
  2. Step 2: Convert to fraction form
    502,089.98/692,627.96 = 320,611.10/x
  3. Step 3: Cross multiply
    502,089.98x = 692,627.96 × 320,611.10
  4. Step 4: Simplify right side
    502,089.98x = 222,064,209,484.74
  5. Step 5: Solve for x
    x = 222,064,209,484.74/502,089.98
  6. Step 6: Final answer
    x = 442,279.71

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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.