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Finding the Fourth Proportional to 511,918.80, 706,443.27 and 282,478.20

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Solution

The fourth proportional to 511,918.80, 706,443.27 and 282,478.20 is: 389,817.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,918.80 : 706,443.27 = 282,478.20 : x
  2. Step 2: Convert to fraction form
    511,918.80/706,443.27 = 282,478.20/x
  3. Step 3: Cross multiply
    511,918.80x = 706,443.27 × 282,478.20
  4. Step 4: Simplify right side
    511,918.80x = 199,554,823,311.71
  5. Step 5: Solve for x
    x = 199,554,823,311.71/511,918.80
  6. Step 6: Final answer
    x = 389,817.34

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Double scale
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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.