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Finding the Fourth Proportional to 542,760.24, 749,009.28 and 301,034.64

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Solution

The fourth proportional to 542,760.24, 749,009.28 and 301,034.64 is: 415,427.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,760.24 : 749,009.28 = 301,034.64 : x
  2. Step 2: Convert to fraction form
    542,760.24/749,009.28 = 301,034.64/x
  3. Step 3: Cross multiply
    542,760.24x = 749,009.28 × 301,034.64
  4. Step 4: Simplify right side
    542,760.24x = 225,477,738,961.46
  5. Step 5: Solve for x
    x = 225,477,738,961.46/542,760.24
  6. Step 6: Final answer
    x = 415,427.89

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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.