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Finding the Fourth Proportional to 609,286.58, 914,017.32 and 209,820.10

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Solution

The fourth proportional to 609,286.58, 914,017.32 and 209,820.10 is: 314,760.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,286.58 : 914,017.32 = 209,820.10 : x
  2. Step 2: Convert to fraction form
    609,286.58/914,017.32 = 209,820.10/x
  3. Step 3: Cross multiply
    609,286.58x = 914,017.32 × 209,820.10
  4. Step 4: Simplify right side
    609,286.58x = 191,779,205,484.13
  5. Step 5: Solve for x
    x = 191,779,205,484.13/609,286.58
  6. Step 6: Final answer
    x = 314,760.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.