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Finding the Fourth Proportional to 553,209.20, 829,813.80 and 488,255.30

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Solution

The fourth proportional to 553,209.20, 829,813.80 and 488,255.30 is: 732,382.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,209.20 : 829,813.80 = 488,255.30 : x
  2. Step 2: Convert to fraction form
    553,209.20/829,813.80 = 488,255.30/x
  3. Step 3: Cross multiply
    553,209.20x = 829,813.80 × 488,255.30
  4. Step 4: Simplify right side
    553,209.20x = 405,160,985,863.14
  5. Step 5: Solve for x
    x = 405,160,985,863.14/553,209.20
  6. Step 6: Final answer
    x = 732,382.95

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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.