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Finding the Fourth Proportional to 295,740.49, 443,684.55 and 85,378.43

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Solution

The fourth proportional to 295,740.49, 443,684.55 and 85,378.43 is: 128,088.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,740.49 : 443,684.55 = 85,378.43 : x
  2. Step 2: Convert to fraction form
    295,740.49/443,684.55 = 85,378.43/x
  3. Step 3: Cross multiply
    295,740.49x = 443,684.55 × 85,378.43
  4. Step 4: Simplify right side
    295,740.49x = 37,881,090,115.58
  5. Step 5: Solve for x
    x = 37,881,090,115.58/295,740.49
  6. Step 6: Final answer
    x = 128,088.95

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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.