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Finding the Fourth Proportional to 493,107.90, 739,048.41 and 256,311.42

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Solution

The fourth proportional to 493,107.90, 739,048.41 and 256,311.42 is: 384,148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,107.90 : 739,048.41 = 256,311.42 : x
  2. Step 2: Convert to fraction form
    493,107.90/739,048.41 = 256,311.42/x
  3. Step 3: Cross multiply
    493,107.90x = 739,048.41 × 256,311.42
  4. Step 4: Simplify right side
    493,107.90x = 189,426,547,415.84
  5. Step 5: Solve for x
    x = 189,426,547,415.84/493,107.90
  6. Step 6: Final answer
    x = 384,148.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.