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Finding the Fourth Proportional to 380,522.60, 525,092.28 and 210,753.08

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Solution

The fourth proportional to 380,522.60, 525,092.28 and 210,753.08 is: 290,823.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,522.60 : 525,092.28 = 210,753.08 : x
  2. Step 2: Convert to fraction form
    380,522.60/525,092.28 = 210,753.08/x
  3. Step 3: Cross multiply
    380,522.60x = 525,092.28 × 210,753.08
  4. Step 4: Simplify right side
    380,522.60x = 110,664,815,294.22
  5. Step 5: Solve for x
    x = 110,664,815,294.22/380,522.60
  6. Step 6: Final answer
    x = 290,823.24

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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.