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Finding the Fourth Proportional to 557,913.81, 769,923.80 and 303,265

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Solution

The fourth proportional to 557,913.81, 769,923.80 and 303,265 is: 418,507.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,913.81 : 769,923.80 = 303,265 : x
  2. Step 2: Convert to fraction form
    557,913.81/769,923.80 = 303,265/x
  3. Step 3: Cross multiply
    557,913.81x = 769,923.80 × 303,265
  4. Step 4: Simplify right side
    557,913.81x = 233,490,941,207
  5. Step 5: Solve for x
    x = 233,490,941,207/557,913.81
  6. Step 6: Final answer
    x = 418,507.19

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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.