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Finding the Fourth Proportional to 457,155.11, 630,846.31 and 253,193.81

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Solution

The fourth proportional to 457,155.11, 630,846.31 and 253,193.81 is: 349,392.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,155.11 : 630,846.31 = 253,193.81 : x
  2. Step 2: Convert to fraction form
    457,155.11/630,846.31 = 253,193.81/x
  3. Step 3: Cross multiply
    457,155.11x = 630,846.31 × 253,193.81
  4. Step 4: Simplify right side
    457,155.11x = 159,726,381,697.47
  5. Step 5: Solve for x
    x = 159,726,381,697.47/457,155.11
  6. Step 6: Final answer
    x = 349,392.10

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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.