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Finding the Fourth Proportional to 706,725.60, 1,059,699.60 and 307,298.40

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Solution

The fourth proportional to 706,725.60, 1,059,699.60 and 307,298.40 is: 460,778.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,725.60 : 1,059,699.60 = 307,298.40 : x
  2. Step 2: Convert to fraction form
    706,725.60/1,059,699.60 = 307,298.40/x
  3. Step 3: Cross multiply
    706,725.60x = 1,059,699.60 × 307,298.40
  4. Step 4: Simplify right side
    706,725.60x = 325,643,991,560.64
  5. Step 5: Solve for x
    x = 325,643,991,560.64/706,725.60
  6. Step 6: Final answer
    x = 460,778.54

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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.