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Finding the Fourth Proportional to 553,209.70, 829,814.55 and 488,255.80

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Solution

The fourth proportional to 553,209.70, 829,814.55 and 488,255.80 is: 732,383.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,209.70 : 829,814.55 = 488,255.80 : x
  2. Step 2: Convert to fraction form
    553,209.70/829,814.55 = 488,255.80/x
  3. Step 3: Cross multiply
    553,209.70x = 829,814.55 × 488,255.80
  4. Step 4: Simplify right side
    553,209.70x = 405,161,766,961.89
  5. Step 5: Solve for x
    x = 405,161,766,961.89/553,209.70
  6. Step 6: Final answer
    x = 732,383.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.