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Finding the Fourth Proportional to 208,312.65, 311,976.90 and 141,390.45

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Solution

The fourth proportional to 208,312.65, 311,976.90 and 141,390.45 is: 211,751.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,312.65 : 311,976.90 = 141,390.45 : x
  2. Step 2: Convert to fraction form
    208,312.65/311,976.90 = 141,390.45/x
  3. Step 3: Cross multiply
    208,312.65x = 311,976.90 × 141,390.45
  4. Step 4: Simplify right side
    208,312.65x = 44,110,554,280.61
  5. Step 5: Solve for x
    x = 44,110,554,280.61/208,312.65
  6. Step 6: Final answer
    x = 211,751.68

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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.