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Finding the Fourth Proportional to 557,257.82, 769,018.73 and 315,587.43

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Solution

The fourth proportional to 557,257.82, 769,018.73 and 315,587.43 is: 435,512.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,257.82 : 769,018.73 = 315,587.43 : x
  2. Step 2: Convert to fraction form
    557,257.82/769,018.73 = 315,587.43/x
  3. Step 3: Cross multiply
    557,257.82x = 769,018.73 × 315,587.43
  4. Step 4: Simplify right side
    557,257.82x = 242,692,643,044.63
  5. Step 5: Solve for x
    x = 242,692,643,044.63/557,257.82
  6. Step 6: Final answer
    x = 435,512.32

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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.