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Finding the Fourth Proportional to 210,396.40, 290,342.40 and 114,903.50

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Solution

The fourth proportional to 210,396.40, 290,342.40 and 114,903.50 is: 158,564.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,396.40 : 290,342.40 = 114,903.50 : x
  2. Step 2: Convert to fraction form
    210,396.40/290,342.40 = 114,903.50/x
  3. Step 3: Cross multiply
    210,396.40x = 290,342.40 × 114,903.50
  4. Step 4: Simplify right side
    210,396.40x = 33,361,357,958.40
  5. Step 5: Solve for x
    x = 33,361,357,958.40/210,396.40
  6. Step 6: Final answer
    x = 158,564.30

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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.