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Finding the Fourth Proportional to 511,712.10, 767,568.15 and 137,735.10

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Solution

The fourth proportional to 511,712.10, 767,568.15 and 137,735.10 is: 206,602.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,712.10 : 767,568.15 = 137,735.10 : x
  2. Step 2: Convert to fraction form
    511,712.10/767,568.15 = 137,735.10/x
  3. Step 3: Cross multiply
    511,712.10x = 767,568.15 × 137,735.10
  4. Step 4: Simplify right side
    511,712.10x = 105,721,075,897.07
  5. Step 5: Solve for x
    x = 105,721,075,897.07/511,712.10
  6. Step 6: Final answer
    x = 206,602.65

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Similar ratio
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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.