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Finding the Fourth Proportional to 529,191.12, 730,288.94 and 287,475.65

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Solution

The fourth proportional to 529,191.12, 730,288.94 and 287,475.65 is: 396,719.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,191.12 : 730,288.94 = 287,475.65 : x
  2. Step 2: Convert to fraction form
    529,191.12/730,288.94 = 287,475.65/x
  3. Step 3: Cross multiply
    529,191.12x = 730,288.94 × 287,475.65
  4. Step 4: Simplify right side
    529,191.12x = 209,940,282,625.49
  5. Step 5: Solve for x
    x = 209,940,282,625.49/529,191.12
  6. Step 6: Final answer
    x = 396,719.21

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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.