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Finding the Fourth Proportional to 398,692.40, 596,872.20 and 265,722.80

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Solution

The fourth proportional to 398,692.40, 596,872.20 and 265,722.80 is: 397,806.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,692.40 : 596,872.20 = 265,722.80 : x
  2. Step 2: Convert to fraction form
    398,692.40/596,872.20 = 265,722.80/x
  3. Step 3: Cross multiply
    398,692.40x = 596,872.20 × 265,722.80
  4. Step 4: Simplify right side
    398,692.40x = 158,602,552,226.16
  5. Step 5: Solve for x
    x = 158,602,552,226.16/398,692.40
  6. Step 6: Final answer
    x = 397,806.81

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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.