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Finding the Fourth Proportional to 430,813.40, 646,997.70 and 312,618.20

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Solution

The fourth proportional to 430,813.40, 646,997.70 and 312,618.20 is: 469,491.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,813.40 : 646,997.70 = 312,618.20 : x
  2. Step 2: Convert to fraction form
    430,813.40/646,997.70 = 312,618.20/x
  3. Step 3: Cross multiply
    430,813.40x = 646,997.70 × 312,618.20
  4. Step 4: Simplify right side
    430,813.40x = 202,263,256,378.14
  5. Step 5: Solve for x
    x = 202,263,256,378.14/430,813.40
  6. Step 6: Final answer
    x = 469,491.56

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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.