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Finding the Fourth Proportional to 509,018.96, 702,405.20 and 294,172.94

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Solution

The fourth proportional to 509,018.96, 702,405.20 and 294,172.94 is: 405,934.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,018.96 : 702,405.20 = 294,172.94 : x
  2. Step 2: Convert to fraction form
    509,018.96/702,405.20 = 294,172.94/x
  3. Step 3: Cross multiply
    509,018.96x = 702,405.20 × 294,172.94
  4. Step 4: Simplify right side
    509,018.96x = 206,628,602,755.29
  5. Step 5: Solve for x
    x = 206,628,602,755.29/509,018.96
  6. Step 6: Final answer
    x = 405,934.98

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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.