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Finding the Fourth Proportional to 717,421, 989,954.30 and 411,481.58

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Solution

The fourth proportional to 717,421, 989,954.30 and 411,481.58 is: 567,794.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,421 : 989,954.30 = 411,481.58 : x
  2. Step 2: Convert to fraction form
    717,421/989,954.30 = 411,481.58/x
  3. Step 3: Cross multiply
    717,421x = 989,954.30 × 411,481.58
  4. Step 4: Simplify right side
    717,421x = 407,347,959,491.79
  5. Step 5: Solve for x
    x = 407,347,959,491.79/717,421
  6. Step 6: Final answer
    x = 567,794.86

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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.