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Finding the Fourth Proportional to 720,069.12, 993,754.80 and 414,244.80

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Solution

The fourth proportional to 720,069.12, 993,754.80 and 414,244.80 is: 571,692.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,069.12 : 993,754.80 = 414,244.80 : x
  2. Step 2: Convert to fraction form
    720,069.12/993,754.80 = 414,244.80/x
  3. Step 3: Cross multiply
    720,069.12x = 993,754.80 × 414,244.80
  4. Step 4: Simplify right side
    720,069.12x = 411,657,758,375.04
  5. Step 5: Solve for x
    x = 411,657,758,375.04/720,069.12
  6. Step 6: Final answer
    x = 571,692.00

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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.