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Finding the Fourth Proportional to 257,516, 385,823.58 and 178,680.32

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Solution

The fourth proportional to 257,516, 385,823.58 and 178,680.32 is: 267,707.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,516 : 385,823.58 = 178,680.32 : x
  2. Step 2: Convert to fraction form
    257,516/385,823.58 = 178,680.32/x
  3. Step 3: Cross multiply
    257,516x = 385,823.58 × 178,680.32
  4. Step 4: Simplify right side
    257,516x = 68,939,080,737.95
  5. Step 5: Solve for x
    x = 68,939,080,737.95/257,516
  6. Step 6: Final answer
    x = 267,707.95

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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.