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Finding the Fourth Proportional to 546,543.90, 819,427.05 and 209,454.30

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Solution

The fourth proportional to 546,543.90, 819,427.05 and 209,454.30 is: 314,032.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,543.90 : 819,427.05 = 209,454.30 : x
  2. Step 2: Convert to fraction form
    546,543.90/819,427.05 = 209,454.30/x
  3. Step 3: Cross multiply
    546,543.90x = 819,427.05 × 209,454.30
  4. Step 4: Simplify right side
    546,543.90x = 171,632,519,158.82
  5. Step 5: Solve for x
    x = 171,632,519,158.82/546,543.90
  6. Step 6: Final answer
    x = 314,032.45

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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.