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Finding the Fourth Proportional to 820,302.15, 1,230,453.23 and 820,302.15

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Solution

The fourth proportional to 820,302.15, 1,230,453.23 and 820,302.15 is: 1,230,453.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,302.15 : 1,230,453.23 = 820,302.15 : x
  2. Step 2: Convert to fraction form
    820,302.15/1,230,453.23 = 820,302.15/x
  3. Step 3: Cross multiply
    820,302.15x = 1,230,453.23 × 820,302.15
  4. Step 4: Simplify right side
    820,302.15x = 1,009,343,425,941.93
  5. Step 5: Solve for x
    x = 1,009,343,425,941.93/820,302.15
  6. Step 6: Final answer
    x = 1,230,453.23

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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.