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Finding the Fourth Proportional to 542,506.14, 813,648.04 and 205,430.51

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Solution

The fourth proportional to 542,506.14, 813,648.04 and 205,430.51 is: 308,103.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,506.14 : 813,648.04 = 205,430.51 : x
  2. Step 2: Convert to fraction form
    542,506.14/813,648.04 = 205,430.51/x
  3. Step 3: Cross multiply
    542,506.14x = 813,648.04 × 205,430.51
  4. Step 4: Simplify right side
    542,506.14x = 167,148,133,338.24
  5. Step 5: Solve for x
    x = 167,148,133,338.24/542,506.14
  6. Step 6: Final answer
    x = 308,103.67

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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.