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Finding the Fourth Proportional to 499,563.62, 689,415.32 and 284,669.00

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Solution

The fourth proportional to 499,563.62, 689,415.32 and 284,669.00 is: 392,853.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,563.62 : 689,415.32 = 284,669.00 : x
  2. Step 2: Convert to fraction form
    499,563.62/689,415.32 = 284,669.00/x
  3. Step 3: Cross multiply
    499,563.62x = 689,415.32 × 284,669.00
  4. Step 4: Simplify right side
    499,563.62x = 196,255,164,858.66
  5. Step 5: Solve for x
    x = 196,255,164,858.66/499,563.62
  6. Step 6: Final answer
    x = 392,853.20

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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.