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Finding the Fourth Proportional to 457,138.89, 630,837.72 and 253,181.70

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Solution

The fourth proportional to 457,138.89, 630,837.72 and 253,181.70 is: 349,383.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,138.89 : 630,837.72 = 253,181.70 : x
  2. Step 2: Convert to fraction form
    457,138.89/630,837.72 = 253,181.70/x
  3. Step 3: Cross multiply
    457,138.89x = 630,837.72 × 253,181.70
  4. Step 4: Simplify right side
    457,138.89x = 159,716,566,373.72
  5. Step 5: Solve for x
    x = 159,716,566,373.72/457,138.89
  6. Step 6: Final answer
    x = 349,383.02

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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.