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Finding the Fourth Proportional to 399,285.16, 599,013.87 and 114,973.80

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Solution

The fourth proportional to 399,285.16, 599,013.87 and 114,973.80 is: 172,485.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,285.16 : 599,013.87 = 114,973.80 : x
  2. Step 2: Convert to fraction form
    399,285.16/599,013.87 = 114,973.80/x
  3. Step 3: Cross multiply
    399,285.16x = 599,013.87 × 114,973.80
  4. Step 4: Simplify right side
    399,285.16x = 68,870,898,209.15
  5. Step 5: Solve for x
    x = 68,870,898,209.15/399,285.16
  6. Step 6: Final answer
    x = 172,485.49

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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.