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Finding the Fourth Proportional to 318,318.89, 477,509.52 and 115,970

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Solution

The fourth proportional to 318,318.89, 477,509.52 and 115,970 is: 173,966.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,318.89 : 477,509.52 = 115,970 : x
  2. Step 2: Convert to fraction form
    318,318.89/477,509.52 = 115,970/x
  3. Step 3: Cross multiply
    318,318.89x = 477,509.52 × 115,970
  4. Step 4: Simplify right side
    318,318.89x = 55,376,779,034.40
  5. Step 5: Solve for x
    x = 55,376,779,034.40/318,318.89
  6. Step 6: Final answer
    x = 173,966.36

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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.