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Finding the Fourth Proportional to 298,352, 447,529.20 and 120,862.36

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Solution

The fourth proportional to 298,352, 447,529.20 and 120,862.36 is: 181,294.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,352 : 447,529.20 = 120,862.36 : x
  2. Step 2: Convert to fraction form
    298,352/447,529.20 = 120,862.36/x
  3. Step 3: Cross multiply
    298,352x = 447,529.20 × 120,862.36
  4. Step 4: Simplify right side
    298,352x = 54,089,435,280.91
  5. Step 5: Solve for x
    x = 54,089,435,280.91/298,352
  6. Step 6: Final answer
    x = 181,294.03

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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.