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Finding the Fourth Proportional to 1,042,709, 1,438,938.42 and 565,781

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Solution

The fourth proportional to 1,042,709, 1,438,938.42 and 565,781 is: 780,777.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042,709 : 1,438,938.42 = 565,781 : x
  2. Step 2: Convert to fraction form
    1,042,709/1,438,938.42 = 565,781/x
  3. Step 3: Cross multiply
    1,042,709x = 1,438,938.42 × 565,781
  4. Step 4: Simplify right side
    1,042,709x = 814,124,018,206.02
  5. Step 5: Solve for x
    x = 814,124,018,206.02/1,042,709
  6. Step 6: Final answer
    x = 780,777.78

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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.