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Finding the Fourth Proportional to 312,802.77, 469,132.18 and 186,478.68

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Solution

The fourth proportional to 312,802.77, 469,132.18 and 186,478.68 is: 279,675.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,802.77 : 469,132.18 = 186,478.68 : x
  2. Step 2: Convert to fraction form
    312,802.77/469,132.18 = 186,478.68/x
  3. Step 3: Cross multiply
    312,802.77x = 469,132.18 × 186,478.68
  4. Step 4: Simplify right side
    312,802.77x = 87,483,149,671.92
  5. Step 5: Solve for x
    x = 87,483,149,671.92/312,802.77
  6. Step 6: Final answer
    x = 279,675.11

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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.