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Finding the Fourth Proportional to 296,692.26, 445,111.29 and 86,332.02

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Solution

The fourth proportional to 296,692.26, 445,111.29 and 86,332.02 is: 129,519.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,692.26 : 445,111.29 = 86,332.02 : x
  2. Step 2: Convert to fraction form
    296,692.26/445,111.29 = 86,332.02/x
  3. Step 3: Cross multiply
    296,692.26x = 445,111.29 × 86,332.02
  4. Step 4: Simplify right side
    296,692.26x = 38,427,356,790.51
  5. Step 5: Solve for x
    x = 38,427,356,790.51/296,692.26
  6. Step 6: Final answer
    x = 129,519.24

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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.