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Finding the Fourth Proportional to 407,869.04, 611,891.10 and 171,075.26

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Solution

The fourth proportional to 407,869.04, 611,891.10 and 171,075.26 is: 256,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,869.04 : 611,891.10 = 171,075.26 : x
  2. Step 2: Convert to fraction form
    407,869.04/611,891.10 = 171,075.26/x
  3. Step 3: Cross multiply
    407,869.04x = 611,891.10 × 171,075.26
  4. Step 4: Simplify right side
    407,869.04x = 104,679,425,964.73
  5. Step 5: Solve for x
    x = 104,679,425,964.73/407,869.04
  6. Step 6: Final answer
    x = 256,649.60

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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.