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Finding the Fourth Proportional to 827,007.80, 1,240,511.70 and 820,009.40

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Solution

The fourth proportional to 827,007.80, 1,240,511.70 and 820,009.40 is: 1,230,014.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,007.80 : 1,240,511.70 = 820,009.40 : x
  2. Step 2: Convert to fraction form
    827,007.80/1,240,511.70 = 820,009.40/x
  3. Step 3: Cross multiply
    827,007.80x = 1,240,511.70 × 820,009.40
  4. Step 4: Simplify right side
    827,007.80x = 1,017,231,254,809.98
  5. Step 5: Solve for x
    x = 1,017,231,254,809.98/827,007.80
  6. Step 6: Final answer
    x = 1,230,014.10

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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.