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Finding the Fourth Proportional to 499,358.80, 689,071.08 and 284,490.64

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Solution

The fourth proportional to 499,358.80, 689,071.08 and 284,490.64 is: 392,571.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,358.80 : 689,071.08 = 284,490.64 : x
  2. Step 2: Convert to fraction form
    499,358.80/689,071.08 = 284,490.64/x
  3. Step 3: Cross multiply
    499,358.80x = 689,071.08 × 284,490.64
  4. Step 4: Simplify right side
    499,358.80x = 196,034,272,554.69
  5. Step 5: Solve for x
    x = 196,034,272,554.69/499,358.80
  6. Step 6: Final answer
    x = 392,571.98

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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.