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Finding the Fourth Proportional to 290,009.14, 435,172.27 and 112,523.15

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Solution

The fourth proportional to 290,009.14, 435,172.27 and 112,523.15 is: 168,846.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,009.14 : 435,172.27 = 112,523.15 : x
  2. Step 2: Convert to fraction form
    290,009.14/435,172.27 = 112,523.15/x
  3. Step 3: Cross multiply
    290,009.14x = 435,172.27 × 112,523.15
  4. Step 4: Simplify right side
    290,009.14x = 48,966,955,419.67
  5. Step 5: Solve for x
    x = 48,966,955,419.67/290,009.14
  6. Step 6: Final answer
    x = 168,846.25

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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.