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Finding the Fourth Proportional to 486,276.47, 729,509.16 and 186,735.03

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Solution

The fourth proportional to 486,276.47, 729,509.16 and 186,735.03 is: 280,138.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,276.47 : 729,509.16 = 186,735.03 : x
  2. Step 2: Convert to fraction form
    486,276.47/729,509.16 = 186,735.03/x
  3. Step 3: Cross multiply
    486,276.47x = 729,509.16 × 186,735.03
  4. Step 4: Simplify right side
    486,276.47x = 136,224,914,877.88
  5. Step 5: Solve for x
    x = 136,224,914,877.88/486,276.47
  6. Step 6: Final answer
    x = 280,138.82

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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.