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Finding the Fourth Proportional to 712,095.78, 982,693.41 and 389,806.08

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Solution

The fourth proportional to 712,095.78, 982,693.41 and 389,806.08 is: 537,933.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,095.78 : 982,693.41 = 389,806.08 : x
  2. Step 2: Convert to fraction form
    712,095.78/982,693.41 = 389,806.08/x
  3. Step 3: Cross multiply
    712,095.78x = 982,693.41 × 389,806.08
  4. Step 4: Simplify right side
    712,095.78x = 383,059,865,993.93
  5. Step 5: Solve for x
    x = 383,059,865,993.93/712,095.78
  6. Step 6: Final answer
    x = 537,933.07

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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.