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Finding the Fourth Proportional to 369,692.16, 509,573.44 and 288,977.28

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Solution

The fourth proportional to 369,692.16, 509,573.44 and 288,977.28 is: 398,318.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,692.16 : 509,573.44 = 288,977.28 : x
  2. Step 2: Convert to fraction form
    369,692.16/509,573.44 = 288,977.28/x
  3. Step 3: Cross multiply
    369,692.16x = 509,573.44 × 288,977.28
  4. Step 4: Simplify right side
    369,692.16x = 147,255,146,651.44
  5. Step 5: Solve for x
    x = 147,255,146,651.44/369,692.16
  6. Step 6: Final answer
    x = 398,318.28

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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.