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Finding the Fourth Proportional to 298,429.20, 447,643.80 and 111,430.80

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Solution

The fourth proportional to 298,429.20, 447,643.80 and 111,430.80 is: 167,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,429.20 : 447,643.80 = 111,430.80 : x
  2. Step 2: Convert to fraction form
    298,429.20/447,643.80 = 111,430.80/x
  3. Step 3: Cross multiply
    298,429.20x = 447,643.80 × 111,430.80
  4. Step 4: Simplify right side
    298,429.20x = 49,881,306,749.04
  5. Step 5: Solve for x
    x = 49,881,306,749.04/298,429.20
  6. Step 6: Final answer
    x = 167,146.20

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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.