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Finding the Fourth Proportional to 509,578.32, 702,002.52 and 356,329.92

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Solution

The fourth proportional to 509,578.32, 702,002.52 and 356,329.92 is: 490,885.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,578.32 : 702,002.52 = 356,329.92 : x
  2. Step 2: Convert to fraction form
    509,578.32/702,002.52 = 356,329.92/x
  3. Step 3: Cross multiply
    509,578.32x = 702,002.52 × 356,329.92
  4. Step 4: Simplify right side
    509,578.32x = 250,144,501,791.40
  5. Step 5: Solve for x
    x = 250,144,501,791.40/509,578.32
  6. Step 6: Final answer
    x = 490,885.29

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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.