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Finding the Fourth Proportional to 557,441.92, 769,284.16 and 302,807.68

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Solution

The fourth proportional to 557,441.92, 769,284.16 and 302,807.68 is: 417,882.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,441.92 : 769,284.16 = 302,807.68 : x
  2. Step 2: Convert to fraction form
    557,441.92/769,284.16 = 302,807.68/x
  3. Step 3: Cross multiply
    557,441.92x = 769,284.16 × 302,807.68
  4. Step 4: Simplify right side
    557,441.92x = 232,945,151,750.35
  5. Step 5: Solve for x
    x = 232,945,151,750.35/557,441.92
  6. Step 6: Final answer
    x = 417,882.37

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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.