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Finding the Fourth Proportional to 523,590, 785,385 and 168,639.90

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Solution

The fourth proportional to 523,590, 785,385 and 168,639.90 is: 252,959.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,590 : 785,385 = 168,639.90 : x
  2. Step 2: Convert to fraction form
    523,590/785,385 = 168,639.90/x
  3. Step 3: Cross multiply
    523,590x = 785,385 × 168,639.90
  4. Step 4: Simplify right side
    523,590x = 132,447,247,861.50
  5. Step 5: Solve for x
    x = 132,447,247,861.50/523,590
  6. Step 6: Final answer
    x = 252,959.85

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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.