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Finding the Fourth Proportional to 485,956.16, 729,206.40 and 205,683.20

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Solution

The fourth proportional to 485,956.16, 729,206.40 and 205,683.20 is: 308,639.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,956.16 : 729,206.40 = 205,683.20 : x
  2. Step 2: Convert to fraction form
    485,956.16/729,206.40 = 205,683.20/x
  3. Step 3: Cross multiply
    485,956.16x = 729,206.40 × 205,683.20
  4. Step 4: Simplify right side
    485,956.16x = 149,985,505,812.48
  5. Step 5: Solve for x
    x = 149,985,505,812.48/485,956.16
  6. Step 6: Final answer
    x = 308,639.99

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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.