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Finding the Fourth Proportional to 509,319.59, 702,902.90 and 328,408.12

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Solution

The fourth proportional to 509,319.59, 702,902.90 and 328,408.12 is: 453,230.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,319.59 : 702,902.90 = 328,408.12 : x
  2. Step 2: Convert to fraction form
    509,319.59/702,902.90 = 328,408.12/x
  3. Step 3: Cross multiply
    509,319.59x = 702,902.90 × 328,408.12
  4. Step 4: Simplify right side
    509,319.59x = 230,839,014,774.99
  5. Step 5: Solve for x
    x = 230,839,014,774.99/509,319.59
  6. Step 6: Final answer
    x = 453,230.19

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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.