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Finding the Fourth Proportional to 511,492.58, 705,901.79 and 282,094.74

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Solution

The fourth proportional to 511,492.58, 705,901.79 and 282,094.74 is: 389,313.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,492.58 : 705,901.79 = 282,094.74 : x
  2. Step 2: Convert to fraction form
    511,492.58/705,901.79 = 282,094.74/x
  3. Step 3: Cross multiply
    511,492.58x = 705,901.79 × 282,094.74
  4. Step 4: Simplify right side
    511,492.58x = 199,131,180,150.83
  5. Step 5: Solve for x
    x = 199,131,180,150.83/511,492.58
  6. Step 6: Final answer
    x = 389,313.92

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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.