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Finding the Fourth Proportional to 384,154.40, 576,231.60 and 162,509.60

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Solution

The fourth proportional to 384,154.40, 576,231.60 and 162,509.60 is: 243,764.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,154.40 : 576,231.60 = 162,509.60 : x
  2. Step 2: Convert to fraction form
    384,154.40/576,231.60 = 162,509.60/x
  3. Step 3: Cross multiply
    384,154.40x = 576,231.60 × 162,509.60
  4. Step 4: Simplify right side
    384,154.40x = 93,643,166,823.36
  5. Step 5: Solve for x
    x = 93,643,166,823.36/384,154.40
  6. Step 6: Final answer
    x = 243,764.40

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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.