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Finding the Fourth Proportional to 298,386.94, 411,773.57 and 162,420.46

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Solution

The fourth proportional to 298,386.94, 411,773.57 and 162,420.46 is: 224,140.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,386.94 : 411,773.57 = 162,420.46 : x
  2. Step 2: Convert to fraction form
    298,386.94/411,773.57 = 162,420.46/x
  3. Step 3: Cross multiply
    298,386.94x = 411,773.57 × 162,420.46
  4. Step 4: Simplify right side
    298,386.94x = 66,880,452,336.40
  5. Step 5: Solve for x
    x = 66,880,452,336.40/298,386.94
  6. Step 6: Final answer
    x = 224,140.01

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Why These Related Problems?

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