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Finding the Fourth Proportional to 511,493.64, 705,903.26 and 282,095.81

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Solution

The fourth proportional to 511,493.64, 705,903.26 and 282,095.81 is: 389,315.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,493.64 : 705,903.26 = 282,095.81 : x
  2. Step 2: Convert to fraction form
    511,493.64/705,903.26 = 282,095.81/x
  3. Step 3: Cross multiply
    511,493.64x = 705,903.26 × 282,095.81
  4. Step 4: Simplify right side
    511,493.64x = 199,132,349,087.06
  5. Step 5: Solve for x
    x = 199,132,349,087.06/511,493.64
  6. Step 6: Final answer
    x = 389,315.40

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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.