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Finding the Fourth Proportional to 309,140.92, 463,107.66 and 213,060.94

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Solution

The fourth proportional to 309,140.92, 463,107.66 and 213,060.94 is: 319,175.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,140.92 : 463,107.66 = 213,060.94 : x
  2. Step 2: Convert to fraction form
    309,140.92/463,107.66 = 213,060.94/x
  3. Step 3: Cross multiply
    309,140.92x = 463,107.66 × 213,060.94
  4. Step 4: Simplify right side
    309,140.92x = 98,670,153,360.80
  5. Step 5: Solve for x
    x = 98,670,153,360.80/309,140.92
  6. Step 6: Final answer
    x = 319,175.32

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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.