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Finding the Fourth Proportional to 570,714.60, 856,421.82 and 255,438.12

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Solution

The fourth proportional to 570,714.60, 856,421.82 and 255,438.12 is: 383,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,714.60 : 856,421.82 = 255,438.12 : x
  2. Step 2: Convert to fraction form
    570,714.60/856,421.82 = 255,438.12/x
  3. Step 3: Cross multiply
    570,714.60x = 856,421.82 × 255,438.12
  4. Step 4: Simplify right side
    570,714.60x = 218,762,779,627.78
  5. Step 5: Solve for x
    x = 218,762,779,627.78/570,714.60
  6. Step 6: Final answer
    x = 383,313.80

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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.