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Finding the Fourth Proportional to 542,014.21, 812,958.40 and 142,686.11

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Solution

The fourth proportional to 542,014.21, 812,958.40 and 142,686.11 is: 214,012.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,014.21 : 812,958.40 = 142,686.11 : x
  2. Step 2: Convert to fraction form
    542,014.21/812,958.40 = 142,686.11/x
  3. Step 3: Cross multiply
    542,014.21x = 812,958.40 × 142,686.11
  4. Step 4: Simplify right side
    542,014.21x = 115,997,868,924.38
  5. Step 5: Solve for x
    x = 115,997,868,924.38/542,014.21
  6. Step 6: Final answer
    x = 214,012.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.