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Finding the Fourth Proportional to 648,139.60, 971,383.20 and 363,829.60

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Solution

The fourth proportional to 648,139.60, 971,383.20 and 363,829.60 is: 545,280.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,139.60 : 971,383.20 = 363,829.60 : x
  2. Step 2: Convert to fraction form
    648,139.60/971,383.20 = 363,829.60/x
  3. Step 3: Cross multiply
    648,139.60x = 971,383.20 × 363,829.60
  4. Step 4: Simplify right side
    648,139.60x = 353,417,961,102.72
  5. Step 5: Solve for x
    x = 353,417,961,102.72/648,139.60
  6. Step 6: Final answer
    x = 545,280.62

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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.