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Finding the Fourth Proportional to 387,856.70, 535,246.33 and 213,429.23

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Solution

The fourth proportional to 387,856.70, 535,246.33 and 213,429.23 is: 294,534.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,856.70 : 535,246.33 = 213,429.23 : x
  2. Step 2: Convert to fraction form
    387,856.70/535,246.33 = 213,429.23/x
  3. Step 3: Cross multiply
    387,856.70x = 535,246.33 × 213,429.23
  4. Step 4: Simplify right side
    387,856.70x = 114,237,211,269.78
  5. Step 5: Solve for x
    x = 114,237,211,269.78/387,856.70
  6. Step 6: Final answer
    x = 294,534.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.