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Finding the Fourth Proportional to 320,774.10, 480,202.50 and 194,030.78

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Solution

The fourth proportional to 320,774.10, 480,202.50 and 194,030.78 is: 290,466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,774.10 : 480,202.50 = 194,030.78 : x
  2. Step 2: Convert to fraction form
    320,774.10/480,202.50 = 194,030.78/x
  3. Step 3: Cross multiply
    320,774.10x = 480,202.50 × 194,030.78
  4. Step 4: Simplify right side
    320,774.10x = 93,174,065,632.95
  5. Step 5: Solve for x
    x = 93,174,065,632.95/320,774.10
  6. Step 6: Final answer
    x = 290,466.30

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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.