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Finding the Fourth Proportional to 456,811.32, 630,343.87 and 263,281.63

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Solution

The fourth proportional to 456,811.32, 630,343.87 and 263,281.63 is: 363,296.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,811.32 : 630,343.87 = 263,281.63 : x
  2. Step 2: Convert to fraction form
    456,811.32/630,343.87 = 263,281.63/x
  3. Step 3: Cross multiply
    456,811.32x = 630,343.87 × 263,281.63
  4. Step 4: Simplify right side
    456,811.32x = 165,957,959,320.04
  5. Step 5: Solve for x
    x = 165,957,959,320.04/456,811.32
  6. Step 6: Final answer
    x = 363,296.52

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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.