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Finding the Fourth Proportional to 647,036.20, 970,748.70 and 460,412.20

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Solution

The fourth proportional to 647,036.20, 970,748.70 and 460,412.20 is: 690,756.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,036.20 : 970,748.70 = 460,412.20 : x
  2. Step 2: Convert to fraction form
    647,036.20/970,748.70 = 460,412.20/x
  3. Step 3: Cross multiply
    647,036.20x = 970,748.70 × 460,412.20
  4. Step 4: Simplify right side
    647,036.20x = 446,944,544,614.14
  5. Step 5: Solve for x
    x = 446,944,544,614.14/647,036.20
  6. Step 6: Final answer
    x = 690,756.63

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1.5x scale

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.