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Finding the Fourth Proportional to 557,540.64, 769,386.24 and 302,886.72

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Solution

The fourth proportional to 557,540.64, 769,386.24 and 302,886.72 is: 417,972.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,540.64 : 769,386.24 = 302,886.72 : x
  2. Step 2: Convert to fraction form
    557,540.64/769,386.24 = 302,886.72/x
  3. Step 3: Cross multiply
    557,540.64x = 769,386.24 × 302,886.72
  4. Step 4: Simplify right side
    557,540.64x = 233,036,874,646.73
  5. Step 5: Solve for x
    x = 233,036,874,646.73/557,540.64
  6. Step 6: Final answer
    x = 417,972.89

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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.