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Finding the Fourth Proportional to 706,910, 975,528.24 and 420,423.80

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Solution

The fourth proportional to 706,910, 975,528.24 and 420,423.80 is: 580,180.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,910 : 975,528.24 = 420,423.80 : x
  2. Step 2: Convert to fraction form
    706,910/975,528.24 = 420,423.80/x
  3. Step 3: Cross multiply
    706,910x = 975,528.24 × 420,423.80
  4. Step 4: Simplify right side
    706,910x = 410,135,289,668.11
  5. Step 5: Solve for x
    x = 410,135,289,668.11/706,910
  6. Step 6: Final answer
    x = 580,180.35

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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.