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Finding the Fourth Proportional to 509,408.40, 702,765.54 and 318,089.64

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Solution

The fourth proportional to 509,408.40, 702,765.54 and 318,089.64 is: 438,827.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,408.40 : 702,765.54 = 318,089.64 : x
  2. Step 2: Convert to fraction form
    509,408.40/702,765.54 = 318,089.64/x
  3. Step 3: Cross multiply
    509,408.40x = 702,765.54 × 318,089.64
  4. Step 4: Simplify right side
    509,408.40x = 223,542,437,623.01
  5. Step 5: Solve for x
    x = 223,542,437,623.01/509,408.40
  6. Step 6: Final answer
    x = 438,827.55

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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.