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Finding the Fourth Proportional to 557,287.75, 769,050.30 and 302,640.76

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Solution

The fourth proportional to 557,287.75, 769,050.30 and 302,640.76 is: 417,640.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,287.75 : 769,050.30 = 302,640.76 : x
  2. Step 2: Convert to fraction form
    557,287.75/769,050.30 = 302,640.76/x
  3. Step 3: Cross multiply
    557,287.75x = 769,050.30 × 302,640.76
  4. Step 4: Simplify right side
    557,287.75x = 232,745,967,270.23
  5. Step 5: Solve for x
    x = 232,745,967,270.23/557,287.75
  6. Step 6: Final answer
    x = 417,640.56

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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.