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Finding the Fourth Proportional to 486,014.70, 729,022.05 and 456,490.20

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Solution

The fourth proportional to 486,014.70, 729,022.05 and 456,490.20 is: 684,735.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,014.70 : 729,022.05 = 456,490.20 : x
  2. Step 2: Convert to fraction form
    486,014.70/729,022.05 = 456,490.20/x
  3. Step 3: Cross multiply
    486,014.70x = 729,022.05 × 456,490.20
  4. Step 4: Simplify right side
    486,014.70x = 332,791,421,408.91
  5. Step 5: Solve for x
    x = 332,791,421,408.91/486,014.70
  6. Step 6: Final answer
    x = 684,735.30

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Similar ratio
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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.