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Finding the Fourth Proportional to 511,491.32, 705,900.04 and 282,093.47

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Solution

The fourth proportional to 511,491.32, 705,900.04 and 282,093.47 is: 389,312.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,491.32 : 705,900.04 = 282,093.47 : x
  2. Step 2: Convert to fraction form
    511,491.32/705,900.04 = 282,093.47/x
  3. Step 3: Cross multiply
    511,491.32x = 705,900.04 × 282,093.47
  4. Step 4: Simplify right side
    511,491.32x = 199,129,791,756.74
  5. Step 5: Solve for x
    x = 199,129,791,756.74/511,491.32
  6. Step 6: Final answer
    x = 389,312.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.