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Finding the Fourth Proportional to 255,534.70, 383,447.85 and 97,876.30

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Solution

The fourth proportional to 255,534.70, 383,447.85 and 97,876.30 is: 146,870.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,534.70 : 383,447.85 = 97,876.30 : x
  2. Step 2: Convert to fraction form
    255,534.70/383,447.85 = 97,876.30/x
  3. Step 3: Cross multiply
    255,534.70x = 383,447.85 × 97,876.30
  4. Step 4: Simplify right side
    255,534.70x = 37,530,456,800.96
  5. Step 5: Solve for x
    x = 37,530,456,800.96/255,534.70
  6. Step 6: Final answer
    x = 146,870.30

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1.5x scale

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.