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Finding the Fourth Proportional to 457,094.16, 630,714.96 and 287,208

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Solution

The fourth proportional to 457,094.16, 630,714.96 and 287,208 is: 396,299.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,094.16 : 630,714.96 = 287,208 : x
  2. Step 2: Convert to fraction form
    457,094.16/630,714.96 = 287,208/x
  3. Step 3: Cross multiply
    457,094.16x = 630,714.96 × 287,208
  4. Step 4: Simplify right side
    457,094.16x = 181,146,382,231.68
  5. Step 5: Solve for x
    x = 181,146,382,231.68/457,094.16
  6. Step 6: Final answer
    x = 396,299.93

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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.