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Finding the Fourth Proportional to 618,643.80, 927,965.70 and 406,067.40

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Solution

The fourth proportional to 618,643.80, 927,965.70 and 406,067.40 is: 609,101.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,643.80 : 927,965.70 = 406,067.40 : x
  2. Step 2: Convert to fraction form
    618,643.80/927,965.70 = 406,067.40/x
  3. Step 3: Cross multiply
    618,643.80x = 927,965.70 × 406,067.40
  4. Step 4: Simplify right side
    618,643.80x = 376,816,619,088.18
  5. Step 5: Solve for x
    x = 376,816,619,088.18/618,643.80
  6. Step 6: Final answer
    x = 609,101.10

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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.