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Finding the Fourth Proportional to 662,097.86, 993,142.01 and 438,459.33

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Solution

The fourth proportional to 662,097.86, 993,142.01 and 438,459.33 is: 657,685.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,097.86 : 993,142.01 = 438,459.33 : x
  2. Step 2: Convert to fraction form
    662,097.86/993,142.01 = 438,459.33/x
  3. Step 3: Cross multiply
    662,097.86x = 993,142.01 × 438,459.33
  4. Step 4: Simplify right side
    662,097.86x = 435,452,381,395.60
  5. Step 5: Solve for x
    x = 435,452,381,395.60/662,097.86
  6. Step 6: Final answer
    x = 657,685.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.