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Finding the Fourth Proportional to 557,614.64, 769,511.40 and 302,967.92

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Solution

The fourth proportional to 557,614.64, 769,511.40 and 302,967.92 is: 418,097.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,614.64 : 769,511.40 = 302,967.92 : x
  2. Step 2: Convert to fraction form
    557,614.64/769,511.40 = 302,967.92/x
  3. Step 3: Cross multiply
    557,614.64x = 769,511.40 × 302,967.92
  4. Step 4: Simplify right side
    557,614.64x = 233,137,268,274.29
  5. Step 5: Solve for x
    x = 233,137,268,274.29/557,614.64
  6. Step 6: Final answer
    x = 418,097.47

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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.