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Finding the Fourth Proportional to 283,006.98, 390,551.49 and 155,679.30

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Solution

The fourth proportional to 283,006.98, 390,551.49 and 155,679.30 is: 214,838.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,006.98 : 390,551.49 = 155,679.30 : x
  2. Step 2: Convert to fraction form
    283,006.98/390,551.49 = 155,679.30/x
  3. Step 3: Cross multiply
    283,006.98x = 390,551.49 × 155,679.30
  4. Step 4: Simplify right side
    283,006.98x = 60,800,782,577.16
  5. Step 5: Solve for x
    x = 60,800,782,577.16/283,006.98
  6. Step 6: Final answer
    x = 214,838.46

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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.