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Finding the Fourth Proportional to 420,021.80, 589,689.40 and 420,021.80

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Solution

The fourth proportional to 420,021.80, 589,689.40 and 420,021.80 is: 589,689.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,021.80 : 589,689.40 = 420,021.80 : x
  2. Step 2: Convert to fraction form
    420,021.80/589,689.40 = 420,021.80/x
  3. Step 3: Cross multiply
    420,021.80x = 589,689.40 × 420,021.80
  4. Step 4: Simplify right side
    420,021.80x = 247,682,403,228.92
  5. Step 5: Solve for x
    x = 247,682,403,228.92/420,021.80
  6. Step 6: Final answer
    x = 589,689.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.