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Finding the Fourth Proportional to 409,714.80, 614,572.20 and 209,968.80

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Solution

The fourth proportional to 409,714.80, 614,572.20 and 209,968.80 is: 314,953.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,714.80 : 614,572.20 = 209,968.80 : x
  2. Step 2: Convert to fraction form
    409,714.80/614,572.20 = 209,968.80/x
  3. Step 3: Cross multiply
    409,714.80x = 614,572.20 × 209,968.80
  4. Step 4: Simplify right side
    409,714.80x = 129,040,987,347.36
  5. Step 5: Solve for x
    x = 129,040,987,347.36/409,714.80
  6. Step 6: Final answer
    x = 314,953.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.