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Finding the Fourth Proportional to 546,709.05, 819,292.89 and 258,213.16

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Solution

The fourth proportional to 546,709.05, 819,292.89 and 258,213.16 is: 386,955.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,709.05 : 819,292.89 = 258,213.16 : x
  2. Step 2: Convert to fraction form
    546,709.05/819,292.89 = 258,213.16/x
  3. Step 3: Cross multiply
    546,709.05x = 819,292.89 × 258,213.16
  4. Step 4: Simplify right side
    546,709.05x = 211,552,206,092.43
  5. Step 5: Solve for x
    x = 211,552,206,092.43/546,709.05
  6. Step 6: Final answer
    x = 386,955.74

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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.