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Finding the Fourth Proportional to 298,675.40, 448,092.30 and 130,123.40

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Solution

The fourth proportional to 298,675.40, 448,092.30 and 130,123.40 is: 195,219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,675.40 : 448,092.30 = 130,123.40 : x
  2. Step 2: Convert to fraction form
    298,675.40/448,092.30 = 130,123.40/x
  3. Step 3: Cross multiply
    298,675.40x = 448,092.30 × 130,123.40
  4. Step 4: Simplify right side
    298,675.40x = 58,307,293,589.82
  5. Step 5: Solve for x
    x = 58,307,293,589.82/298,675.40
  6. Step 6: Final answer
    x = 195,219.60

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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.