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Finding the Fourth Proportional to 357,605,801.67, 493,385,093.70 and 208,819,593.50

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Solution

The fourth proportional to 357,605,801.67, 493,385,093.70 and 208,819,593.50 is: 288,106,272.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,605,801.67 : 493,385,093.70 = 208,819,593.50 : x
  2. Step 2: Convert to fraction form
    357,605,801.67/493,385,093.70 = 208,819,593.50/x
  3. Step 3: Cross multiply
    357,605,801.67x = 493,385,093.70 × 208,819,593.50
  4. Step 4: Simplify right side
    357,605,801.67x = 103,028,474,704,856,576
  5. Step 5: Solve for x
    x = 103,028,474,704,856,576/357,605,801.67
  6. Step 6: Final answer
    x = 288,106,272.95

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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.