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Finding the Fourth Proportional to 523,093.68, 783,650.16 and 309,221.28

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Solution

The fourth proportional to 523,093.68, 783,650.16 and 309,221.28 is: 463,246.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,093.68 : 783,650.16 = 309,221.28 : x
  2. Step 2: Convert to fraction form
    523,093.68/783,650.16 = 309,221.28/x
  3. Step 3: Cross multiply
    523,093.68x = 783,650.16 × 309,221.28
  4. Step 4: Simplify right side
    523,093.68x = 242,321,305,547.41
  5. Step 5: Solve for x
    x = 242,321,305,547.41/523,093.68
  6. Step 6: Final answer
    x = 463,246.48

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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.