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Finding the Fourth Proportional to 281,998.36, 389,156.70 and 174,547

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Solution

The fourth proportional to 281,998.36, 389,156.70 and 174,547 is: 240,874.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,998.36 : 389,156.70 = 174,547 : x
  2. Step 2: Convert to fraction form
    281,998.36/389,156.70 = 174,547/x
  3. Step 3: Cross multiply
    281,998.36x = 389,156.70 × 174,547
  4. Step 4: Simplify right side
    281,998.36x = 67,926,134,514.90
  5. Step 5: Solve for x
    x = 67,926,134,514.90/281,998.36
  6. Step 6: Final answer
    x = 240,874.22

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1.5x scale

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.