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Finding the Fourth Proportional to 470,472, 649,251.36 and 258,504

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Solution

The fourth proportional to 470,472, 649,251.36 and 258,504 is: 356,735.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,472 : 649,251.36 = 258,504 : x
  2. Step 2: Convert to fraction form
    470,472/649,251.36 = 258,504/x
  3. Step 3: Cross multiply
    470,472x = 649,251.36 × 258,504
  4. Step 4: Simplify right side
    470,472x = 167,834,073,565.44
  5. Step 5: Solve for x
    x = 167,834,073,565.44/470,472
  6. Step 6: Final answer
    x = 356,735.52

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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.