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Finding the Fourth Proportional to 556,144, 767,474.16 and 301,488.64

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Solution

The fourth proportional to 556,144, 767,474.16 and 301,488.64 is: 416,051.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,144 : 767,474.16 = 301,488.64 : x
  2. Step 2: Convert to fraction form
    556,144/767,474.16 = 301,488.64/x
  3. Step 3: Cross multiply
    556,144x = 767,474.16 × 301,488.64
  4. Step 4: Simplify right side
    556,144x = 231,384,740,733.54
  5. Step 5: Solve for x
    x = 231,384,740,733.54/556,144
  6. Step 6: Final answer
    x = 416,051.85

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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.