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Finding the Fourth Proportional to 298,928, 448,390.88 and 99,263.36

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Solution

The fourth proportional to 298,928, 448,390.88 and 99,263.36 is: 148,894.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,928 : 448,390.88 = 99,263.36 : x
  2. Step 2: Convert to fraction form
    298,928/448,390.88 = 99,263.36/x
  3. Step 3: Cross multiply
    298,928x = 448,390.88 × 99,263.36
  4. Step 4: Simplify right side
    298,928x = 44,508,785,342.16
  5. Step 5: Solve for x
    x = 44,508,785,342.16/298,928
  6. Step 6: Final answer
    x = 148,894.67

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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.