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Finding the Fourth Proportional to 419,083.32, 578,089.26 and 304,226.94

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Solution

The fourth proportional to 419,083.32, 578,089.26 and 304,226.94 is: 419,654.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,083.32 : 578,089.26 = 304,226.94 : x
  2. Step 2: Convert to fraction form
    419,083.32/578,089.26 = 304,226.94/x
  3. Step 3: Cross multiply
    419,083.32x = 578,089.26 × 304,226.94
  4. Step 4: Simplify right side
    419,083.32x = 175,870,326,616.66
  5. Step 5: Solve for x
    x = 175,870,326,616.66/419,083.32
  6. Step 6: Final answer
    x = 419,654.80

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1.5x scale

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.