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Finding the Fourth Proportional to 511,572.40, 767,357.40 and 137,595.76

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Solution

The fourth proportional to 511,572.40, 767,357.40 and 137,595.76 is: 206,393.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,572.40 : 767,357.40 = 137,595.76 : x
  2. Step 2: Convert to fraction form
    511,572.40/767,357.40 = 137,595.76/x
  3. Step 3: Cross multiply
    511,572.40x = 767,357.40 × 137,595.76
  4. Step 4: Simplify right side
    511,572.40x = 105,585,124,644.62
  5. Step 5: Solve for x
    x = 105,585,124,644.62/511,572.40
  6. Step 6: Final answer
    x = 206,393.32

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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.