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Finding the Fourth Proportional to 509,271.40, 763,676.70 and 228,644.20

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Solution

The fourth proportional to 509,271.40, 763,676.70 and 228,644.20 is: 342,862.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,271.40 : 763,676.70 = 228,644.20 : x
  2. Step 2: Convert to fraction form
    509,271.40/763,676.70 = 228,644.20/x
  3. Step 3: Cross multiply
    509,271.40x = 763,676.70 × 228,644.20
  4. Step 4: Simplify right side
    509,271.40x = 174,610,248,130.14
  5. Step 5: Solve for x
    x = 174,610,248,130.14/509,271.40
  6. Step 6: Final answer
    x = 342,862.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.