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Finding the Fourth Proportional to 513,714.24, 708,887.16 and 287,316

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Solution

The fourth proportional to 513,714.24, 708,887.16 and 287,316 is: 396,474.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,714.24 : 708,887.16 = 287,316 : x
  2. Step 2: Convert to fraction form
    513,714.24/708,887.16 = 287,316/x
  3. Step 3: Cross multiply
    513,714.24x = 708,887.16 × 287,316
  4. Step 4: Simplify right side
    513,714.24x = 203,674,623,262.56
  5. Step 5: Solve for x
    x = 203,674,623,262.56/513,714.24
  6. Step 6: Final answer
    x = 396,474.55

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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.