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Finding the Fourth Proportional to 543,433.13, 749,903.02 and 301,715.64

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Solution

The fourth proportional to 543,433.13, 749,903.02 and 301,715.64 is: 416,348.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,433.13 : 749,903.02 = 301,715.64 : x
  2. Step 2: Convert to fraction form
    543,433.13/749,903.02 = 301,715.64/x
  3. Step 3: Cross multiply
    543,433.13x = 749,903.02 × 301,715.64
  4. Step 4: Simplify right side
    543,433.13x = 226,257,469,617.23
  5. Step 5: Solve for x
    x = 226,257,469,617.23/543,433.13
  6. Step 6: Final answer
    x = 416,348.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.