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Finding the Fourth Proportional to 546,320.80, 819,529.80 and 209,347.84

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Solution

The fourth proportional to 546,320.80, 819,529.80 and 209,347.84 is: 314,040.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,320.80 : 819,529.80 = 209,347.84 : x
  2. Step 2: Convert to fraction form
    546,320.80/819,529.80 = 209,347.84/x
  3. Step 3: Cross multiply
    546,320.80x = 819,529.80 × 209,347.84
  4. Step 4: Simplify right side
    546,320.80x = 171,566,793,445.63
  5. Step 5: Solve for x
    x = 171,566,793,445.63/546,320.80
  6. Step 6: Final answer
    x = 314,040.38

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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.