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Finding the Fourth Proportional to 457,072.16, 630,724.56 and 255,840.80

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Solution

The fourth proportional to 457,072.16, 630,724.56 and 255,840.80 is: 353,040.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,072.16 : 630,724.56 = 255,840.80 : x
  2. Step 2: Convert to fraction form
    457,072.16/630,724.56 = 255,840.80/x
  3. Step 3: Cross multiply
    457,072.16x = 630,724.56 × 255,840.80
  4. Step 4: Simplify right side
    457,072.16x = 161,365,076,010.05
  5. Step 5: Solve for x
    x = 161,365,076,010.05/457,072.16
  6. Step 6: Final answer
    x = 353,040.70

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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.