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Finding the Fourth Proportional to 464,928.90, 697,458.15 and 198,687.30

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Solution

The fourth proportional to 464,928.90, 697,458.15 and 198,687.30 is: 298,058.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,928.90 : 697,458.15 = 198,687.30 : x
  2. Step 2: Convert to fraction form
    464,928.90/697,458.15 = 198,687.30/x
  3. Step 3: Cross multiply
    464,928.90x = 697,458.15 × 198,687.30
  4. Step 4: Simplify right side
    464,928.90x = 138,576,076,686.50
  5. Step 5: Solve for x
    x = 138,576,076,686.50/464,928.90
  6. Step 6: Final answer
    x = 298,058.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.