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Finding the Fourth Proportional to 611,810.80, 917,268.84 and 411,633.52

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Solution

The fourth proportional to 611,810.80, 917,268.84 and 411,633.52 is: 617,149.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,810.80 : 917,268.84 = 411,633.52 : x
  2. Step 2: Convert to fraction form
    611,810.80/917,268.84 = 411,633.52/x
  3. Step 3: Cross multiply
    611,810.80x = 917,268.84 × 411,633.52
  4. Step 4: Simplify right side
    611,810.80x = 377,578,601,395.52
  5. Step 5: Solve for x
    x = 377,578,601,395.52/611,810.80
  6. Step 6: Final answer
    x = 617,149.29

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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.