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Finding the Fourth Proportional to 455,596.80, 681,782.40 and 397,075.20

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Solution

The fourth proportional to 455,596.80, 681,782.40 and 397,075.20 is: 594,207.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,596.80 : 681,782.40 = 397,075.20 : x
  2. Step 2: Convert to fraction form
    455,596.80/681,782.40 = 397,075.20/x
  3. Step 3: Cross multiply
    455,596.80x = 681,782.40 × 397,075.20
  4. Step 4: Simplify right side
    455,596.80x = 270,718,882,836.48
  5. Step 5: Solve for x
    x = 270,718,882,836.48/455,596.80
  6. Step 6: Final answer
    x = 594,207.16

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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.