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Finding the Fourth Proportional to 356,483.40, 534,728.14 and 285,229.46

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Solution

The fourth proportional to 356,483.40, 534,728.14 and 285,229.46 is: 427,846.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,483.40 : 534,728.14 = 285,229.46 : x
  2. Step 2: Convert to fraction form
    356,483.40/534,728.14 = 285,229.46/x
  3. Step 3: Cross multiply
    356,483.40x = 534,728.14 × 285,229.46
  4. Step 4: Simplify right side
    356,483.40x = 152,520,218,619.00
  5. Step 5: Solve for x
    x = 152,520,218,619.00/356,483.40
  6. Step 6: Final answer
    x = 427,846.62

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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.