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Finding the Fourth Proportional to 258,807.12, 388,078.56 and 118,445.40

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Solution

The fourth proportional to 258,807.12, 388,078.56 and 118,445.40 is: 177,607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,807.12 : 388,078.56 = 118,445.40 : x
  2. Step 2: Convert to fraction form
    258,807.12/388,078.56 = 118,445.40/x
  3. Step 3: Cross multiply
    258,807.12x = 388,078.56 × 118,445.40
  4. Step 4: Simplify right side
    258,807.12x = 45,966,120,270.62
  5. Step 5: Solve for x
    x = 45,966,120,270.62/258,807.12
  6. Step 6: Final answer
    x = 177,607.63

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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.