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Finding the Fourth Proportional to 298,766.40, 448,228.80 and 130,214.40

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Solution

The fourth proportional to 298,766.40, 448,228.80 and 130,214.40 is: 195,356.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,766.40 : 448,228.80 = 130,214.40 : x
  2. Step 2: Convert to fraction form
    298,766.40/448,228.80 = 130,214.40/x
  3. Step 3: Cross multiply
    298,766.40x = 448,228.80 × 130,214.40
  4. Step 4: Simplify right side
    298,766.40x = 58,365,844,254.72
  5. Step 5: Solve for x
    x = 58,365,844,254.72/298,766.40
  6. Step 6: Final answer
    x = 195,356.12

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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.