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Finding the Fourth Proportional to 585,145.20, 820,309.20 and 585,145.20

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Solution

The fourth proportional to 585,145.20, 820,309.20 and 585,145.20 is: 820,309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,145.20 : 820,309.20 = 585,145.20 : x
  2. Step 2: Convert to fraction form
    585,145.20/820,309.20 = 585,145.20/x
  3. Step 3: Cross multiply
    585,145.20x = 820,309.20 × 585,145.20
  4. Step 4: Simplify right side
    585,145.20x = 479,999,990,895.84
  5. Step 5: Solve for x
    x = 479,999,990,895.84/585,145.20
  6. Step 6: Final answer
    x = 820,309.20

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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.