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Finding the Fourth Proportional to 542,145.20, 748,164.80 and 300,431.81

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Solution

The fourth proportional to 542,145.20, 748,164.80 and 300,431.81 is: 414,598.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,145.20 : 748,164.80 = 300,431.81 : x
  2. Step 2: Convert to fraction form
    542,145.20/748,164.80 = 300,431.81/x
  3. Step 3: Cross multiply
    542,145.20x = 748,164.80 × 300,431.81
  4. Step 4: Simplify right side
    542,145.20x = 224,772,502,052.54
  5. Step 5: Solve for x
    x = 224,772,502,052.54/542,145.20
  6. Step 6: Final answer
    x = 414,598.34

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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.