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Finding the Fourth Proportional to 665,007.30, 997,640.55 and 285,927.30

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Solution

The fourth proportional to 665,007.30, 997,640.55 and 285,927.30 is: 428,946.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,007.30 : 997,640.55 = 285,927.30 : x
  2. Step 2: Convert to fraction form
    665,007.30/997,640.55 = 285,927.30/x
  3. Step 3: Cross multiply
    665,007.30x = 997,640.55 × 285,927.30
  4. Step 4: Simplify right side
    665,007.30x = 285,252,668,832.02
  5. Step 5: Solve for x
    x = 285,252,668,832.02/665,007.30
  6. Step 6: Final answer
    x = 428,946.67

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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.