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Finding the Fourth Proportional to 511,482.48, 705,846.72 and 285,123.12

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Solution

The fourth proportional to 511,482.48, 705,846.72 and 285,123.12 is: 393,470.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,482.48 : 705,846.72 = 285,123.12 : x
  2. Step 2: Convert to fraction form
    511,482.48/705,846.72 = 285,123.12/x
  3. Step 3: Cross multiply
    511,482.48x = 705,846.72 × 285,123.12
  4. Step 4: Simplify right side
    511,482.48x = 201,253,219,048.17
  5. Step 5: Solve for x
    x = 201,253,219,048.17/511,482.48
  6. Step 6: Final answer
    x = 393,470.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.