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Finding the Fourth Proportional to 457,172.84, 630,934.26 and 263,642.78

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Solution

The fourth proportional to 457,172.84, 630,934.26 and 263,642.78 is: 363,847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,172.84 : 630,934.26 = 263,642.78 : x
  2. Step 2: Convert to fraction form
    457,172.84/630,934.26 = 263,642.78/x
  3. Step 3: Cross multiply
    457,172.84x = 630,934.26 × 263,642.78
  4. Step 4: Simplify right side
    457,172.84x = 166,341,262,303.64
  5. Step 5: Solve for x
    x = 166,341,262,303.64/457,172.84
  6. Step 6: Final answer
    x = 363,847.65

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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.