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Finding the Fourth Proportional to 546,954.70, 820,426.65 and 172,977.70

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Solution

The fourth proportional to 546,954.70, 820,426.65 and 172,977.70 is: 259,464.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,954.70 : 820,426.65 = 172,977.70 : x
  2. Step 2: Convert to fraction form
    546,954.70/820,426.65 = 172,977.70/x
  3. Step 3: Cross multiply
    546,954.70x = 820,426.65 × 172,977.70
  4. Step 4: Simplify right side
    546,954.70x = 141,915,514,935.71
  5. Step 5: Solve for x
    x = 141,915,514,935.71/546,954.70
  6. Step 6: Final answer
    x = 259,464.84

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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.