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Finding the Fourth Proportional to 570,657.12, 856,128.08 and 171,305.28

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Solution

The fourth proportional to 570,657.12, 856,128.08 and 171,305.28 is: 257,000.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,657.12 : 856,128.08 = 171,305.28 : x
  2. Step 2: Convert to fraction form
    570,657.12/856,128.08 = 171,305.28/x
  3. Step 3: Cross multiply
    570,657.12x = 856,128.08 × 171,305.28
  4. Step 4: Simplify right side
    570,657.12x = 146,659,260,460.26
  5. Step 5: Solve for x
    x = 146,659,260,460.26/570,657.12
  6. Step 6: Final answer
    x = 257,000.67

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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.