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Finding the Fourth Proportional to 512,605.60, 768,908.40 and 488,111.20

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Solution

The fourth proportional to 512,605.60, 768,908.40 and 488,111.20 is: 732,166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,605.60 : 768,908.40 = 488,111.20 : x
  2. Step 2: Convert to fraction form
    512,605.60/768,908.40 = 488,111.20/x
  3. Step 3: Cross multiply
    512,605.60x = 768,908.40 × 488,111.20
  4. Step 4: Simplify right side
    512,605.60x = 375,312,801,814.08
  5. Step 5: Solve for x
    x = 375,312,801,814.08/512,605.60
  6. Step 6: Final answer
    x = 732,166.80

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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.