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Finding the Fourth Proportional to 876,339, 1,314,508.50 and 211,491

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Solution

The fourth proportional to 876,339, 1,314,508.50 and 211,491 is: 317,236.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,339 : 1,314,508.50 = 211,491 : x
  2. Step 2: Convert to fraction form
    876,339/1,314,508.50 = 211,491/x
  3. Step 3: Cross multiply
    876,339x = 1,314,508.50 × 211,491
  4. Step 4: Simplify right side
    876,339x = 278,006,717,173.50
  5. Step 5: Solve for x
    x = 278,006,717,173.50/876,339
  6. Step 6: Final answer
    x = 317,236.50

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1.5x scale

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.