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Finding the Fourth Proportional to 199,490.40, 298,506.60 and 147,002.40

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Solution

The fourth proportional to 199,490.40, 298,506.60 and 147,002.40 is: 219,966.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,490.40 : 298,506.60 = 147,002.40 : x
  2. Step 2: Convert to fraction form
    199,490.40/298,506.60 = 147,002.40/x
  3. Step 3: Cross multiply
    199,490.40x = 298,506.60 × 147,002.40
  4. Step 4: Simplify right side
    199,490.40x = 43,881,186,615.84
  5. Step 5: Solve for x
    x = 43,881,186,615.84/199,490.40
  6. Step 6: Final answer
    x = 219,966.41

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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.