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Finding the Fourth Proportional to 543,338.40, 815,785.20 and 307,142.40

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Solution

The fourth proportional to 543,338.40, 815,785.20 and 307,142.40 is: 461,153.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,338.40 : 815,785.20 = 307,142.40 : x
  2. Step 2: Convert to fraction form
    543,338.40/815,785.20 = 307,142.40/x
  3. Step 3: Cross multiply
    543,338.40x = 815,785.20 × 307,142.40
  4. Step 4: Simplify right side
    543,338.40x = 250,562,224,212.48
  5. Step 5: Solve for x
    x = 250,562,224,212.48/543,338.40
  6. Step 6: Final answer
    x = 461,153.17

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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.