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Finding the Fourth Proportional to 280,894.47, 387,373.80 and 178,813.50

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Solution

The fourth proportional to 280,894.47, 387,373.80 and 178,813.50 is: 246,596.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,894.47 : 387,373.80 = 178,813.50 : x
  2. Step 2: Convert to fraction form
    280,894.47/387,373.80 = 178,813.50/x
  3. Step 3: Cross multiply
    280,894.47x = 387,373.80 × 178,813.50
  4. Step 4: Simplify right side
    280,894.47x = 69,267,664,986.30
  5. Step 5: Solve for x
    x = 69,267,664,986.30/280,894.47
  6. Step 6: Final answer
    x = 246,596.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.