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Finding the Fourth Proportional to 265,941.12, 398,911.68 and 210,576

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Solution

The fourth proportional to 265,941.12, 398,911.68 and 210,576 is: 315,864

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,941.12 : 398,911.68 = 210,576 : x
  2. Step 2: Convert to fraction form
    265,941.12/398,911.68 = 210,576/x
  3. Step 3: Cross multiply
    265,941.12x = 398,911.68 × 210,576
  4. Step 4: Simplify right side
    265,941.12x = 84,001,225,927.68
  5. Step 5: Solve for x
    x = 84,001,225,927.68/265,941.12
  6. Step 6: Final answer
    x = 315,864

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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.