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Finding the Fourth Proportional to 570,705.60, 856,408.32 and 255,429.12

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Solution

The fourth proportional to 570,705.60, 856,408.32 and 255,429.12 is: 383,300.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,705.60 : 856,408.32 = 255,429.12 : x
  2. Step 2: Convert to fraction form
    570,705.60/856,408.32 = 255,429.12/x
  3. Step 3: Cross multiply
    570,705.60x = 856,408.32 × 255,429.12
  4. Step 4: Simplify right side
    570,705.60x = 218,751,623,538.28
  5. Step 5: Solve for x
    x = 218,751,623,538.28/570,705.60
  6. Step 6: Final answer
    x = 383,300.29

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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.