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Finding the Fourth Proportional to 499,798.04, 689,733.51 and 284,958.50

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Solution

The fourth proportional to 499,798.04, 689,733.51 and 284,958.50 is: 393,249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,798.04 : 689,733.51 = 284,958.50 : x
  2. Step 2: Convert to fraction form
    499,798.04/689,733.51 = 284,958.50/x
  3. Step 3: Cross multiply
    499,798.04x = 689,733.51 × 284,958.50
  4. Step 4: Simplify right side
    499,798.04x = 196,545,426,409.34
  5. Step 5: Solve for x
    x = 196,545,426,409.34/499,798.04
  6. Step 6: Final answer
    x = 393,249.69

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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.