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Finding the Fourth Proportional to 314,936.10, 472,404.15 and 213,896.70

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Solution

The fourth proportional to 314,936.10, 472,404.15 and 213,896.70 is: 320,845.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,936.10 : 472,404.15 = 213,896.70 : x
  2. Step 2: Convert to fraction form
    314,936.10/472,404.15 = 213,896.70/x
  3. Step 3: Cross multiply
    314,936.10x = 472,404.15 × 213,896.70
  4. Step 4: Simplify right side
    314,936.10x = 101,045,688,751.31
  5. Step 5: Solve for x
    x = 101,045,688,751.31/314,936.10
  6. Step 6: Final answer
    x = 320,845.05

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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.