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Finding the Fourth Proportional to 556,954.92, 768,533.76 and 311,905.44

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Solution

The fourth proportional to 556,954.92, 768,533.76 and 311,905.44 is: 430,393.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,954.92 : 768,533.76 = 311,905.44 : x
  2. Step 2: Convert to fraction form
    556,954.92/768,533.76 = 311,905.44/x
  3. Step 3: Cross multiply
    556,954.92x = 768,533.76 × 311,905.44
  4. Step 4: Simplify right side
    556,954.92x = 239,709,860,567.65
  5. Step 5: Solve for x
    x = 239,709,860,567.65/556,954.92
  6. Step 6: Final answer
    x = 430,393.65

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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.