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Finding the Fourth Proportional to 686,326.26, 946,903.05 and 414,291

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Solution

The fourth proportional to 686,326.26, 946,903.05 and 414,291 is: 571,584.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,326.26 : 946,903.05 = 414,291 : x
  2. Step 2: Convert to fraction form
    686,326.26/946,903.05 = 414,291/x
  3. Step 3: Cross multiply
    686,326.26x = 946,903.05 × 414,291
  4. Step 4: Simplify right side
    686,326.26x = 392,293,411,487.55
  5. Step 5: Solve for x
    x = 392,293,411,487.55/686,326.26
  6. Step 6: Final answer
    x = 571,584.44

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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.