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Finding the Fourth Proportional to 711,585.68, 981,969.40 and 421,212.22

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Solution

The fourth proportional to 711,585.68, 981,969.40 and 421,212.22 is: 581,261.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,585.68 : 981,969.40 = 421,212.22 : x
  2. Step 2: Convert to fraction form
    711,585.68/981,969.40 = 421,212.22/x
  3. Step 3: Cross multiply
    711,585.68x = 981,969.40 × 421,212.22
  4. Step 4: Simplify right side
    711,585.68x = 413,617,510,946.07
  5. Step 5: Solve for x
    x = 413,617,510,946.07/711,585.68
  6. Step 6: Final answer
    x = 581,261.71

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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.