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Finding the Fourth Proportional to 511,430.32, 705,779.37 and 281,988.05

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Solution

The fourth proportional to 511,430.32, 705,779.37 and 281,988.05 is: 389,146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,430.32 : 705,779.37 = 281,988.05 : x
  2. Step 2: Convert to fraction form
    511,430.32/705,779.37 = 281,988.05/x
  3. Step 3: Cross multiply
    511,430.32x = 705,779.37 × 281,988.05
  4. Step 4: Simplify right side
    511,430.32x = 199,021,344,747.63
  5. Step 5: Solve for x
    x = 199,021,344,747.63/511,430.32
  6. Step 6: Final answer
    x = 389,146.55

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1.5x scale

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.