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Finding the Fourth Proportional to 321,398.04, 443,482.68 and 178,158

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Solution

The fourth proportional to 321,398.04, 443,482.68 and 178,158 is: 245,832.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,398.04 : 443,482.68 = 178,158 : x
  2. Step 2: Convert to fraction form
    321,398.04/443,482.68 = 178,158/x
  3. Step 3: Cross multiply
    321,398.04x = 443,482.68 × 178,158
  4. Step 4: Simplify right side
    321,398.04x = 79,009,987,303.44
  5. Step 5: Solve for x
    x = 79,009,987,303.44/321,398.04
  6. Step 6: Final answer
    x = 245,832.20

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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.