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Finding the Fourth Proportional to 538,145.25, 742,640.45 and 296,427.08

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Solution

The fourth proportional to 538,145.25, 742,640.45 and 296,427.08 is: 409,069.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,145.25 : 742,640.45 = 296,427.08 : x
  2. Step 2: Convert to fraction form
    538,145.25/742,640.45 = 296,427.08/x
  3. Step 3: Cross multiply
    538,145.25x = 742,640.45 × 296,427.08
  4. Step 4: Simplify right side
    538,145.25x = 220,138,734,888.05
  5. Step 5: Solve for x
    x = 220,138,734,888.05/538,145.25
  6. Step 6: Final answer
    x = 409,069.36

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1.5x scale

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.