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Finding the Fourth Proportional to 769,602, 1,062,030.96 and 430,073.04

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Solution

The fourth proportional to 769,602, 1,062,030.96 and 430,073.04 is: 593,489.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,602 : 1,062,030.96 = 430,073.04 : x
  2. Step 2: Convert to fraction form
    769,602/1,062,030.96 = 430,073.04/x
  3. Step 3: Cross multiply
    769,602x = 1,062,030.96 × 430,073.04
  4. Step 4: Simplify right side
    769,602x = 456,750,883,541.32
  5. Step 5: Solve for x
    x = 456,750,883,541.32/769,602
  6. Step 6: Final answer
    x = 593,489.73

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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.