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Finding the Fourth Proportional to 645,165.69, 889,015.61 and 499,084.08

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Solution

The fourth proportional to 645,165.69, 889,015.61 and 499,084.08 is: 687,720.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,165.69 : 889,015.61 = 499,084.08 : x
  2. Step 2: Convert to fraction form
    645,165.69/889,015.61 = 499,084.08/x
  3. Step 3: Cross multiply
    645,165.69x = 889,015.61 × 499,084.08
  4. Step 4: Simplify right side
    645,165.69x = 443,693,535,327.07
  5. Step 5: Solve for x
    x = 443,693,535,327.07/645,165.69
  6. Step 6: Final answer
    x = 687,720.29

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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.