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Finding the Fourth Proportional to 567,129.60, 851,385.60 and 286,502.40

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Solution

The fourth proportional to 567,129.60, 851,385.60 and 286,502.40 is: 430,102.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,129.60 : 851,385.60 = 286,502.40 : x
  2. Step 2: Convert to fraction form
    567,129.60/851,385.60 = 286,502.40/x
  3. Step 3: Cross multiply
    567,129.60x = 851,385.60 × 286,502.40
  4. Step 4: Simplify right side
    567,129.60x = 243,924,017,725.44
  5. Step 5: Solve for x
    x = 243,924,017,725.44/567,129.60
  6. Step 6: Final answer
    x = 430,102.78

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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.