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Finding the Fourth Proportional to 447,071.40, 670,376.70 and 166,444.20

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Solution

The fourth proportional to 447,071.40, 670,376.70 and 166,444.20 is: 249,580.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,071.40 : 670,376.70 = 166,444.20 : x
  2. Step 2: Convert to fraction form
    447,071.40/670,376.70 = 166,444.20/x
  3. Step 3: Cross multiply
    447,071.40x = 670,376.70 × 166,444.20
  4. Step 4: Simplify right side
    447,071.40x = 111,580,313,530.14
  5. Step 5: Solve for x
    x = 111,580,313,530.14/447,071.40
  6. Step 6: Final answer
    x = 249,580.52

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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.