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Finding the Fourth Proportional to 454,448.80, 681,666.80 and 205,130.40

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Solution

The fourth proportional to 454,448.80, 681,666.80 and 205,130.40 is: 307,692.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,448.80 : 681,666.80 = 205,130.40 : x
  2. Step 2: Convert to fraction form
    454,448.80/681,666.80 = 205,130.40/x
  3. Step 3: Cross multiply
    454,448.80x = 681,666.80 × 205,130.40
  4. Step 4: Simplify right side
    454,448.80x = 139,830,583,350.72
  5. Step 5: Solve for x
    x = 139,830,583,350.72/454,448.80
  6. Step 6: Final answer
    x = 307,692.71

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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.