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Finding the Fourth Proportional to 512,844.72, 707,581.60 and 295,042

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Solution

The fourth proportional to 512,844.72, 707,581.60 and 295,042 is: 407,075.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,844.72 : 707,581.60 = 295,042 : x
  2. Step 2: Convert to fraction form
    512,844.72/707,581.60 = 295,042/x
  3. Step 3: Cross multiply
    512,844.72x = 707,581.60 × 295,042
  4. Step 4: Simplify right side
    512,844.72x = 208,766,290,427.20
  5. Step 5: Solve for x
    x = 208,766,290,427.20/512,844.72
  6. Step 6: Final answer
    x = 407,075.05

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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.