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Finding the Fourth Proportional to 298,782.27, 448,156.80 and 121,307.22

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Solution

The fourth proportional to 298,782.27, 448,156.80 and 121,307.22 is: 181,954.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,782.27 : 448,156.80 = 121,307.22 : x
  2. Step 2: Convert to fraction form
    298,782.27/448,156.80 = 121,307.22/x
  3. Step 3: Cross multiply
    298,782.27x = 448,156.80 × 121,307.22
  4. Step 4: Simplify right side
    298,782.27x = 54,364,655,532.10
  5. Step 5: Solve for x
    x = 54,364,655,532.10/298,782.27
  6. Step 6: Final answer
    x = 181,954.09

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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.