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Finding the Fourth Proportional to 511,762.50, 767,643.75 and 137,785.50

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Solution

The fourth proportional to 511,762.50, 767,643.75 and 137,785.50 is: 206,678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,762.50 : 767,643.75 = 137,785.50 : x
  2. Step 2: Convert to fraction form
    511,762.50/767,643.75 = 137,785.50/x
  3. Step 3: Cross multiply
    511,762.50x = 767,643.75 × 137,785.50
  4. Step 4: Simplify right side
    511,762.50x = 105,770,177,915.63
  5. Step 5: Solve for x
    x = 105,770,177,915.63/511,762.50
  6. Step 6: Final answer
    x = 206,678.25

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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.