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Finding the Fourth Proportional to 298,820.16, 412,364.72 and 162,858.40

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Solution

The fourth proportional to 298,820.16, 412,364.72 and 162,858.40 is: 224,740.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,820.16 : 412,364.72 = 162,858.40 : x
  2. Step 2: Convert to fraction form
    298,820.16/412,364.72 = 162,858.40/x
  3. Step 3: Cross multiply
    298,820.16x = 412,364.72 × 162,858.40
  4. Step 4: Simplify right side
    298,820.16x = 67,157,058,515.65
  5. Step 5: Solve for x
    x = 67,157,058,515.65/298,820.16
  6. Step 6: Final answer
    x = 224,740.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.