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Finding the Fourth Proportional to 511,570.28, 705,979.40 and 282,130.90

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Solution

The fourth proportional to 511,570.28, 705,979.40 and 282,130.90 is: 389,347.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,570.28 : 705,979.40 = 282,130.90 : x
  2. Step 2: Convert to fraction form
    511,570.28/705,979.40 = 282,130.90/x
  3. Step 3: Cross multiply
    511,570.28x = 705,979.40 × 282,130.90
  4. Step 4: Simplify right side
    511,570.28x = 199,178,600,327.86
  5. Step 5: Solve for x
    x = 199,178,600,327.86/511,570.28
  6. Step 6: Final answer
    x = 389,347.48

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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.