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Finding the Fourth Proportional to 280,509.72, 420,768.30 and 93,521.28

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Solution

The fourth proportional to 280,509.72, 420,768.30 and 93,521.28 is: 140,283.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,509.72 : 420,768.30 = 93,521.28 : x
  2. Step 2: Convert to fraction form
    280,509.72/420,768.30 = 93,521.28/x
  3. Step 3: Cross multiply
    280,509.72x = 420,768.30 × 93,521.28
  4. Step 4: Simplify right side
    280,509.72x = 39,350,789,999.42
  5. Step 5: Solve for x
    x = 39,350,789,999.42/280,509.72
  6. Step 6: Final answer
    x = 140,283.16

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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.