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Finding the Fourth Proportional to 499,640.04, 689,485.80 and 284,849.28

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Solution

The fourth proportional to 499,640.04, 689,485.80 and 284,849.28 is: 393,082.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,640.04 : 689,485.80 = 284,849.28 : x
  2. Step 2: Convert to fraction form
    499,640.04/689,485.80 = 284,849.28/x
  3. Step 3: Cross multiply
    499,640.04x = 689,485.80 × 284,849.28
  4. Step 4: Simplify right side
    499,640.04x = 196,399,533,700.22
  5. Step 5: Solve for x
    x = 196,399,533,700.22/499,640.04
  6. Step 6: Final answer
    x = 393,082.06

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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.