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Finding the Fourth Proportional to 511,079.07, 705,303.69 and 284,739.15

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Solution

The fourth proportional to 511,079.07, 705,303.69 and 284,739.15 is: 392,948.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,079.07 : 705,303.69 = 284,739.15 : x
  2. Step 2: Convert to fraction form
    511,079.07/705,303.69 = 284,739.15/x
  3. Step 3: Cross multiply
    511,079.07x = 705,303.69 × 284,739.15
  4. Step 4: Simplify right side
    511,079.07x = 200,827,573,182.46
  5. Step 5: Solve for x
    x = 200,827,573,182.46/511,079.07
  6. Step 6: Final answer
    x = 392,948.15

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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.