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Finding the Fourth Proportional to 312,802.14, 469,131.24 and 186,478.05

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Solution

The fourth proportional to 312,802.14, 469,131.24 and 186,478.05 is: 279,674.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,802.14 : 469,131.24 = 186,478.05 : x
  2. Step 2: Convert to fraction form
    312,802.14/469,131.24 = 186,478.05/x
  3. Step 3: Cross multiply
    312,802.14x = 469,131.24 × 186,478.05
  4. Step 4: Simplify right side
    312,802.14x = 87,482,678,829.28
  5. Step 5: Solve for x
    x = 87,482,678,829.28/312,802.14
  6. Step 6: Final answer
    x = 279,674.17

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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.