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Finding the Fourth Proportional to 511,394.67, 767,091.38 and 137,417.67

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Solution

The fourth proportional to 511,394.67, 767,091.38 and 137,417.67 is: 206,126.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,394.67 : 767,091.38 = 137,417.67 : x
  2. Step 2: Convert to fraction form
    511,394.67/767,091.38 = 137,417.67/x
  3. Step 3: Cross multiply
    511,394.67x = 767,091.38 × 137,417.67
  4. Step 4: Simplify right side
    511,394.67x = 105,411,909,429.60
  5. Step 5: Solve for x
    x = 105,411,909,429.60/511,394.67
  6. Step 6: Final answer
    x = 206,126.34

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1.5x scale

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.