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Finding the Fourth Proportional to 542,145.84, 748,090.44 and 300,416.76

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Solution

The fourth proportional to 542,145.84, 748,090.44 and 300,416.76 is: 414,535.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,145.84 : 748,090.44 = 300,416.76 : x
  2. Step 2: Convert to fraction form
    542,145.84/748,090.44 = 300,416.76/x
  3. Step 3: Cross multiply
    542,145.84x = 748,090.44 × 300,416.76
  4. Step 4: Simplify right side
    542,145.84x = 224,738,906,171.77
  5. Step 5: Solve for x
    x = 224,738,906,171.77/542,145.84
  6. Step 6: Final answer
    x = 414,535.89

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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.