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Finding the Fourth Proportional to 647,036.70, 970,749.45 and 460,412.70

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Solution

The fourth proportional to 647,036.70, 970,749.45 and 460,412.70 is: 690,757.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,036.70 : 970,749.45 = 460,412.70 : x
  2. Step 2: Convert to fraction form
    647,036.70/970,749.45 = 460,412.70/x
  3. Step 3: Cross multiply
    647,036.70x = 970,749.45 × 460,412.70
  4. Step 4: Simplify right side
    647,036.70x = 446,945,375,298.02
  5. Step 5: Solve for x
    x = 446,945,375,298.02/647,036.70
  6. Step 6: Final answer
    x = 690,757.38

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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.