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Finding the Fourth Proportional to 426,892.98, 640,269.31 and 153,282.54

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Solution

The fourth proportional to 426,892.98, 640,269.31 and 153,282.54 is: 229,898.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,892.98 : 640,269.31 = 153,282.54 : x
  2. Step 2: Convert to fraction form
    426,892.98/640,269.31 = 153,282.54/x
  3. Step 3: Cross multiply
    426,892.98x = 640,269.31 × 153,282.54
  4. Step 4: Simplify right side
    426,892.98x = 98,142,105,724.92
  5. Step 5: Solve for x
    x = 98,142,105,724.92/426,892.98
  6. Step 6: Final answer
    x = 229,898.62

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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.