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Finding the Fourth Proportional to 486,564.60, 729,846.90 and 459,008.40

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Solution

The fourth proportional to 486,564.60, 729,846.90 and 459,008.40 is: 688,512.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,564.60 : 729,846.90 = 459,008.40 : x
  2. Step 2: Convert to fraction form
    486,564.60/729,846.90 = 459,008.40/x
  3. Step 3: Cross multiply
    486,564.60x = 729,846.90 × 459,008.40
  4. Step 4: Simplify right side
    486,564.60x = 335,005,857,813.96
  5. Step 5: Solve for x
    x = 335,005,857,813.96/486,564.60
  6. Step 6: Final answer
    x = 688,512.60

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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.