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Finding the Fourth Proportional to 671,772.69, 926,977.77 and 413,608.68

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Solution

The fourth proportional to 671,772.69, 926,977.77 and 413,608.68 is: 570,737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,772.69 : 926,977.77 = 413,608.68 : x
  2. Step 2: Convert to fraction form
    671,772.69/926,977.77 = 413,608.68/x
  3. Step 3: Cross multiply
    671,772.69x = 926,977.77 × 413,608.68
  4. Step 4: Simplify right side
    671,772.69x = 383,406,051,839.04
  5. Step 5: Solve for x
    x = 383,406,051,839.04/671,772.69
  6. Step 6: Final answer
    x = 570,737.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.