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Finding the Fourth Proportional to 511,833.15, 706,332.21 and 282,390.43

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Solution

The fourth proportional to 511,833.15, 706,332.21 and 282,390.43 is: 389,700.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,833.15 : 706,332.21 = 282,390.43 : x
  2. Step 2: Convert to fraction form
    511,833.15/706,332.21 = 282,390.43/x
  3. Step 3: Cross multiply
    511,833.15x = 706,332.21 × 282,390.43
  4. Step 4: Simplify right side
    511,833.15x = 199,461,454,738.92
  5. Step 5: Solve for x
    x = 199,461,454,738.92/511,833.15
  6. Step 6: Final answer
    x = 389,700.15

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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.