Home / 827,874-1,142,467.20-470,178

Finding the Fourth Proportional to 827,874, 1,142,467.20 and 470,178

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Solution

The fourth proportional to 827,874, 1,142,467.20 and 470,178 is: 648,846.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,874 : 1,142,467.20 = 470,178 : x
  2. Step 2: Convert to fraction form
    827,874/1,142,467.20 = 470,178/x
  3. Step 3: Cross multiply
    827,874x = 1,142,467.20 × 470,178
  4. Step 4: Simplify right side
    827,874x = 537,162,943,161.60
  5. Step 5: Solve for x
    x = 537,162,943,161.60/827,874
  6. Step 6: Final answer
    x = 648,846.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.