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Finding the Fourth Proportional to 470,280.94, 649,089.96 and 289,147.96

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Solution

The fourth proportional to 470,280.94, 649,089.96 and 289,147.96 is: 399,087.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,280.94 : 649,089.96 = 289,147.96 : x
  2. Step 2: Convert to fraction form
    470,280.94/649,089.96 = 289,147.96/x
  3. Step 3: Cross multiply
    470,280.94x = 649,089.96 × 289,147.96
  4. Step 4: Simplify right side
    470,280.94x = 187,683,037,790.48
  5. Step 5: Solve for x
    x = 187,683,037,790.48/470,280.94
  6. Step 6: Final answer
    x = 399,087.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.