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Finding the Fourth Proportional to 405,781.80, 559,639.08 and 304,046.16

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Solution

The fourth proportional to 405,781.80, 559,639.08 and 304,046.16 is: 419,329.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,781.80 : 559,639.08 = 304,046.16 : x
  2. Step 2: Convert to fraction form
    405,781.80/559,639.08 = 304,046.16/x
  3. Step 3: Cross multiply
    405,781.80x = 559,639.08 × 304,046.16
  4. Step 4: Simplify right side
    405,781.80x = 170,156,113,259.93
  5. Step 5: Solve for x
    x = 170,156,113,259.93/405,781.80
  6. Step 6: Final answer
    x = 419,329.09

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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.