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Finding the Fourth Proportional to 457,231.14, 630,978.87 and 253,295.25

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Solution

The fourth proportional to 457,231.14, 630,978.87 and 253,295.25 is: 349,547.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,231.14 : 630,978.87 = 253,295.25 : x
  2. Step 2: Convert to fraction form
    457,231.14/630,978.87 = 253,295.25/x
  3. Step 3: Cross multiply
    457,231.14x = 630,978.87 × 253,295.25
  4. Step 4: Simplify right side
    457,231.14x = 159,823,950,621.37
  5. Step 5: Solve for x
    x = 159,823,950,621.37/457,231.14
  6. Step 6: Final answer
    x = 349,547.39

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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.