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Finding the Fourth Proportional to 546,820.20, 819,647.10 and 209,730.60

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Solution

The fourth proportional to 546,820.20, 819,647.10 and 209,730.60 is: 314,372.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,820.20 : 819,647.10 = 209,730.60 : x
  2. Step 2: Convert to fraction form
    546,820.20/819,647.10 = 209,730.60/x
  3. Step 3: Cross multiply
    546,820.20x = 819,647.10 × 209,730.60
  4. Step 4: Simplify right side
    546,820.20x = 171,905,078,071.26
  5. Step 5: Solve for x
    x = 171,905,078,071.26/546,820.20
  6. Step 6: Final answer
    x = 314,372.22

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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.