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Finding the Fourth Proportional to 381,285.90, 525,745.08 and 312,160.50

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Solution

The fourth proportional to 381,285.90, 525,745.08 and 312,160.50 is: 430,429.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,285.90 : 525,745.08 = 312,160.50 : x
  2. Step 2: Convert to fraction form
    381,285.90/525,745.08 = 312,160.50/x
  3. Step 3: Cross multiply
    381,285.90x = 525,745.08 × 312,160.50
  4. Step 4: Simplify right side
    381,285.90x = 164,116,847,045.34
  5. Step 5: Solve for x
    x = 164,116,847,045.34/381,285.90
  6. Step 6: Final answer
    x = 430,429.89

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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.