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Finding the Fourth Proportional to 521,810.19, 719,779.78 and 345,000

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Solution

The fourth proportional to 521,810.19, 719,779.78 and 345,000 is: 475,889.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,810.19 : 719,779.78 = 345,000 : x
  2. Step 2: Convert to fraction form
    521,810.19/719,779.78 = 345,000/x
  3. Step 3: Cross multiply
    521,810.19x = 719,779.78 × 345,000
  4. Step 4: Simplify right side
    521,810.19x = 248,324,024,100
  5. Step 5: Solve for x
    x = 248,324,024,100/521,810.19
  6. Step 6: Final answer
    x = 475,889.56

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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.