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Finding the Fourth Proportional to 557,071.57, 768,768.17 and 302,422.75

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Solution

The fourth proportional to 557,071.57, 768,768.17 and 302,422.75 is: 417,348.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,071.57 : 768,768.17 = 302,422.75 : x
  2. Step 2: Convert to fraction form
    557,071.57/768,768.17 = 302,422.75/x
  3. Step 3: Cross multiply
    557,071.57x = 768,768.17 × 302,422.75
  4. Step 4: Simplify right side
    557,071.57x = 232,492,984,083.87
  5. Step 5: Solve for x
    x = 232,492,984,083.87/557,071.57
  6. Step 6: Final answer
    x = 417,348.50

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Double scale
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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.