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Finding the Fourth Proportional to 210,813.95, 290,930.19 and 115,318.46

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Solution

The fourth proportional to 210,813.95, 290,930.19 and 115,318.46 is: 159,143.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,813.95 : 290,930.19 = 115,318.46 : x
  2. Step 2: Convert to fraction form
    210,813.95/290,930.19 = 115,318.46/x
  3. Step 3: Cross multiply
    210,813.95x = 290,930.19 × 115,318.46
  4. Step 4: Simplify right side
    210,813.95x = 33,549,621,478.31
  5. Step 5: Solve for x
    x = 33,549,621,478.31/210,813.95
  6. Step 6: Final answer
    x = 159,143.27

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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.