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Finding the Fourth Proportional to 738,276, 1,107,598.96 and 212,964

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Solution

The fourth proportional to 738,276, 1,107,598.96 and 212,964 is: 319,499.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,276 : 1,107,598.96 = 212,964 : x
  2. Step 2: Convert to fraction form
    738,276/1,107,598.96 = 212,964/x
  3. Step 3: Cross multiply
    738,276x = 1,107,598.96 × 212,964
  4. Step 4: Simplify right side
    738,276x = 235,878,704,917.44
  5. Step 5: Solve for x
    x = 235,878,704,917.44/738,276
  6. Step 6: Final answer
    x = 319,499.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.