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Finding the Fourth Proportional to 228,048.32, 314,715.55 and 151,435.31

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Solution

The fourth proportional to 228,048.32, 314,715.55 and 151,435.31 is: 208,986.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,048.32 : 314,715.55 = 151,435.31 : x
  2. Step 2: Convert to fraction form
    228,048.32/314,715.55 = 151,435.31/x
  3. Step 3: Cross multiply
    228,048.32x = 314,715.55 × 151,435.31
  4. Step 4: Simplify right side
    228,048.32x = 47,659,046,671.97
  5. Step 5: Solve for x
    x = 47,659,046,671.97/228,048.32
  6. Step 6: Final answer
    x = 208,986.62

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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.