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Finding the Fourth Proportional to 556,834, 768,431.46 and 302,185.24

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Solution

The fourth proportional to 556,834, 768,431.46 and 302,185.24 is: 417,015.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,834 : 768,431.46 = 302,185.24 : x
  2. Step 2: Convert to fraction form
    556,834/768,431.46 = 302,185.24/x
  3. Step 3: Cross multiply
    556,834x = 768,431.46 × 302,185.24
  4. Step 4: Simplify right side
    556,834x = 232,208,645,163.65
  5. Step 5: Solve for x
    x = 232,208,645,163.65/556,834
  6. Step 6: Final answer
    x = 417,015.92

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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.