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Finding the Fourth Proportional to 342,556.86, 514,423.35 and 210,214.20

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Solution

The fourth proportional to 342,556.86, 514,423.35 and 210,214.20 is: 315,682.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,556.86 : 514,423.35 = 210,214.20 : x
  2. Step 2: Convert to fraction form
    342,556.86/514,423.35 = 210,214.20/x
  3. Step 3: Cross multiply
    342,556.86x = 514,423.35 × 210,214.20
  4. Step 4: Simplify right side
    342,556.86x = 108,139,092,981.57
  5. Step 5: Solve for x
    x = 108,139,092,981.57/342,556.86
  6. Step 6: Final answer
    x = 315,682.17

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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.