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Finding the Fourth Proportional to 342,557.86, 514,424.85 and 210,215.20

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Solution

The fourth proportional to 342,557.86, 514,424.85 and 210,215.20 is: 315,683.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,557.86 : 514,424.85 = 210,215.20 : x
  2. Step 2: Convert to fraction form
    342,557.86/514,424.85 = 210,215.20/x
  3. Step 3: Cross multiply
    342,557.86x = 514,424.85 × 210,215.20
  4. Step 4: Simplify right side
    342,557.86x = 108,139,922,727.72
  5. Step 5: Solve for x
    x = 108,139,922,727.72/342,557.86
  6. Step 6: Final answer
    x = 315,683.67

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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.