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Finding the Fourth Proportional to 546,646.12, 819,889.90 and 209,771.57

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Solution

The fourth proportional to 546,646.12, 819,889.90 and 209,771.57 is: 314,626.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,646.12 : 819,889.90 = 209,771.57 : x
  2. Step 2: Convert to fraction form
    546,646.12/819,889.90 = 209,771.57/x
  3. Step 3: Cross multiply
    546,646.12x = 819,889.90 × 209,771.57
  4. Step 4: Simplify right side
    546,646.12x = 171,989,593,075.44
  5. Step 5: Solve for x
    x = 171,989,593,075.44/546,646.12
  6. Step 6: Final answer
    x = 314,626.94

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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.