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Finding the Fourth Proportional to 618,966.50, 854,131 and 343,298.34

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Solution

The fourth proportional to 618,966.50, 854,131 and 343,298.34 is: 473,727.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,966.50 : 854,131 = 343,298.34 : x
  2. Step 2: Convert to fraction form
    618,966.50/854,131 = 343,298.34/x
  3. Step 3: Cross multiply
    618,966.50x = 854,131 × 343,298.34
  4. Step 4: Simplify right side
    618,966.50x = 293,221,754,442.54
  5. Step 5: Solve for x
    x = 293,221,754,442.54/618,966.50
  6. Step 6: Final answer
    x = 473,727.99

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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.