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Finding the Fourth Proportional to 822,416.40, 1,235,698.20 and 523,040.40

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Solution

The fourth proportional to 822,416.40, 1,235,698.20 and 523,040.40 is: 785,879.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,416.40 : 1,235,698.20 = 523,040.40 : x
  2. Step 2: Convert to fraction form
    822,416.40/1,235,698.20 = 523,040.40/x
  3. Step 3: Cross multiply
    822,416.40x = 1,235,698.20 × 523,040.40
  4. Step 4: Simplify right side
    822,416.40x = 646,320,080,807.28
  5. Step 5: Solve for x
    x = 646,320,080,807.28/822,416.40
  6. Step 6: Final answer
    x = 785,879.37

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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.