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Finding the Fourth Proportional to 342,581.86, 514,460.85 and 210,239.20

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Solution

The fourth proportional to 342,581.86, 514,460.85 and 210,239.20 is: 315,719.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,581.86 : 514,460.85 = 210,239.20 : x
  2. Step 2: Convert to fraction form
    342,581.86/514,460.85 = 210,239.20/x
  3. Step 3: Cross multiply
    342,581.86x = 514,460.85 × 210,239.20
  4. Step 4: Simplify right side
    342,581.86x = 108,159,837,535.32
  5. Step 5: Solve for x
    x = 108,159,837,535.32/342,581.86
  6. Step 6: Final answer
    x = 315,719.69

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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.