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Finding the Fourth Proportional to 789,133, 1,089,007.38 and 431,437

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Solution

The fourth proportional to 789,133, 1,089,007.38 and 431,437 is: 595,385.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,133 : 1,089,007.38 = 431,437 : x
  2. Step 2: Convert to fraction form
    789,133/1,089,007.38 = 431,437/x
  3. Step 3: Cross multiply
    789,133x = 1,089,007.38 × 431,437
  4. Step 4: Simplify right side
    789,133x = 469,838,077,005.06
  5. Step 5: Solve for x
    x = 469,838,077,005.06/789,133
  6. Step 6: Final answer
    x = 595,385.16

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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.