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Finding the Fourth Proportional to 553,466,782.38, 763,793,238.78 and 330,467,948.76

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Solution

The fourth proportional to 553,466,782.38, 763,793,238.78 and 330,467,948.76 is: 456,051,190.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,466,782.38 : 763,793,238.78 = 330,467,948.76 : x
  2. Step 2: Convert to fraction form
    553,466,782.38/763,793,238.78 = 330,467,948.76/x
  3. Step 3: Cross multiply
    553,466,782.38x = 763,793,238.78 × 330,467,948.76
  4. Step 4: Simplify right side
    553,466,782.38x = 252,409,184,896,383,456
  5. Step 5: Solve for x
    x = 252,409,184,896,383,456/553,466,782.38
  6. Step 6: Final answer
    x = 456,051,190.30

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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.