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Finding the Fourth Proportional to 505,408,658.67, 761,562,772.74 and 415,310,694.12

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Solution

The fourth proportional to 505,408,658.67, 761,562,772.74 and 415,310,694.12 is: 625,800,841.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,408,658.67 : 761,562,772.74 = 415,310,694.12 : x
  2. Step 2: Convert to fraction form
    505,408,658.67/761,562,772.74 = 415,310,694.12/x
  3. Step 3: Cross multiply
    505,408,658.67x = 761,562,772.74 × 415,310,694.12
  4. Step 4: Simplify right side
    505,408,658.67x = 316,285,163,762,601,216
  5. Step 5: Solve for x
    x = 316,285,163,762,601,216/505,408,658.67
  6. Step 6: Final answer
    x = 625,800,841.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.