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Finding the Fourth Proportional to 255,772.94, 352,969 and 153,801.50

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Solution

The fourth proportional to 255,772.94, 352,969 and 153,801.50 is: 212,247.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,772.94 : 352,969 = 153,801.50 : x
  2. Step 2: Convert to fraction form
    255,772.94/352,969 = 153,801.50/x
  3. Step 3: Cross multiply
    255,772.94x = 352,969 × 153,801.50
  4. Step 4: Simplify right side
    255,772.94x = 54,287,161,653.50
  5. Step 5: Solve for x
    x = 54,287,161,653.50/255,772.94
  6. Step 6: Final answer
    x = 212,247.48

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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.