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Finding the Fourth Proportional to 542,134.42, 748,149.89 and 300,421.00

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Solution

The fourth proportional to 542,134.42, 748,149.89 and 300,421.00 is: 414,583.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,134.42 : 748,149.89 = 300,421.00 : x
  2. Step 2: Convert to fraction form
    542,134.42/748,149.89 = 300,421.00/x
  3. Step 3: Cross multiply
    542,134.42x = 748,149.89 × 300,421.00
  4. Step 4: Simplify right side
    542,134.42x = 224,759,937,536.77
  5. Step 5: Solve for x
    x = 224,759,937,536.77/542,134.42
  6. Step 6: Final answer
    x = 414,583.41

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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.