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Finding the Fourth Proportional to 298,977.90, 448,466.85 and 149,678.70

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Solution

The fourth proportional to 298,977.90, 448,466.85 and 149,678.70 is: 224,518.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,977.90 : 448,466.85 = 149,678.70 : x
  2. Step 2: Convert to fraction form
    298,977.90/448,466.85 = 149,678.70/x
  3. Step 3: Cross multiply
    298,977.90x = 448,466.85 × 149,678.70
  4. Step 4: Simplify right side
    298,977.90x = 67,125,935,101.10
  5. Step 5: Solve for x
    x = 67,125,935,101.10/298,977.90
  6. Step 6: Final answer
    x = 224,518.05

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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.