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Finding the Fourth Proportional to 1,042,494, 1,438,632 and 589,785

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Solution

The fourth proportional to 1,042,494, 1,438,632 and 589,785 is: 813,897.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042,494 : 1,438,632 = 589,785 : x
  2. Step 2: Convert to fraction form
    1,042,494/1,438,632 = 589,785/x
  3. Step 3: Cross multiply
    1,042,494x = 1,438,632 × 589,785
  4. Step 4: Simplify right side
    1,042,494x = 848,483,574,120
  5. Step 5: Solve for x
    x = 848,483,574,120/1,042,494
  6. Step 6: Final answer
    x = 813,897.80

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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.