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Finding the Fourth Proportional to 538,148, 742,496.46 and 374,621.24

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Solution

The fourth proportional to 538,148, 742,496.46 and 374,621.24 is: 516,874.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,148 : 742,496.46 = 374,621.24 : x
  2. Step 2: Convert to fraction form
    538,148/742,496.46 = 374,621.24/x
  3. Step 3: Cross multiply
    538,148x = 742,496.46 × 374,621.24
  4. Step 4: Simplify right side
    538,148x = 278,154,944,540.81
  5. Step 5: Solve for x
    x = 278,154,944,540.81/538,148
  6. Step 6: Final answer
    x = 516,874.44

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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.