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Finding the Fourth Proportional to 380,779.62, 571,185.21 and 314,095.56

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Solution

The fourth proportional to 380,779.62, 571,185.21 and 314,095.56 is: 471,156.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,779.62 : 571,185.21 = 314,095.56 : x
  2. Step 2: Convert to fraction form
    380,779.62/571,185.21 = 314,095.56/x
  3. Step 3: Cross multiply
    380,779.62x = 571,185.21 × 314,095.56
  4. Step 4: Simplify right side
    380,779.62x = 179,406,738,398.67
  5. Step 5: Solve for x
    x = 179,406,738,398.67/380,779.62
  6. Step 6: Final answer
    x = 471,156.36

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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.