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Finding the Fourth Proportional to 711,963.91, 982,502.70 and 385,269.77

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Solution

The fourth proportional to 711,963.91, 982,502.70 and 385,269.77 is: 531,668.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,963.91 : 982,502.70 = 385,269.77 : x
  2. Step 2: Convert to fraction form
    711,963.91/982,502.70 = 385,269.77/x
  3. Step 3: Cross multiply
    711,963.91x = 982,502.70 × 385,269.77
  4. Step 4: Simplify right side
    711,963.91x = 378,528,586,333.07
  5. Step 5: Solve for x
    x = 378,528,586,333.07/711,963.91
  6. Step 6: Final answer
    x = 531,668.23

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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.