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Finding the Fourth Proportional to 546,955.20, 820,427.40 and 172,978.20

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Solution

The fourth proportional to 546,955.20, 820,427.40 and 172,978.20 is: 259,465.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,955.20 : 820,427.40 = 172,978.20 : x
  2. Step 2: Convert to fraction form
    546,955.20/820,427.40 = 172,978.20/x
  3. Step 3: Cross multiply
    546,955.20x = 820,427.40 × 172,978.20
  4. Step 4: Simplify right side
    546,955.20x = 141,916,054,882.68
  5. Step 5: Solve for x
    x = 141,916,054,882.68/546,955.20
  6. Step 6: Final answer
    x = 259,465.59

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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.