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Finding the Fourth Proportional to 298,782.63, 448,172.73 and 121,288.14

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Solution

The fourth proportional to 298,782.63, 448,172.73 and 121,288.14 is: 181,931.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,782.63 : 448,172.73 = 121,288.14 : x
  2. Step 2: Convert to fraction form
    298,782.63/448,172.73 = 121,288.14/x
  3. Step 3: Cross multiply
    298,782.63x = 448,172.73 × 121,288.14
  4. Step 4: Simplify right side
    298,782.63x = 54,358,036,820.42
  5. Step 5: Solve for x
    x = 54,358,036,820.42/298,782.63
  6. Step 6: Final answer
    x = 181,931.72

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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.