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Finding the Fourth Proportional to 509,006.70, 763,024.05 and 189,072.90

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Solution

The fourth proportional to 509,006.70, 763,024.05 and 189,072.90 is: 283,428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,006.70 : 763,024.05 = 189,072.90 : x
  2. Step 2: Convert to fraction form
    509,006.70/763,024.05 = 189,072.90/x
  3. Step 3: Cross multiply
    509,006.70x = 763,024.05 × 189,072.90
  4. Step 4: Simplify right side
    509,006.70x = 144,267,169,903.25
  5. Step 5: Solve for x
    x = 144,267,169,903.25/509,006.70
  6. Step 6: Final answer
    x = 283,428.82

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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.