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Finding the Fourth Proportional to 542,609.12, 813,797.04 and 340,107.50

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Solution

The fourth proportional to 542,609.12, 813,797.04 and 340,107.50 is: 510,088.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,609.12 : 813,797.04 = 340,107.50 : x
  2. Step 2: Convert to fraction form
    542,609.12/813,797.04 = 340,107.50/x
  3. Step 3: Cross multiply
    542,609.12x = 813,797.04 × 340,107.50
  4. Step 4: Simplify right side
    542,609.12x = 276,778,476,781.80
  5. Step 5: Solve for x
    x = 276,778,476,781.80/542,609.12
  6. Step 6: Final answer
    x = 510,088.14

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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.