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Finding the Fourth Proportional to 702,578.82, 969,740.43 and 458,172.81

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Solution

The fourth proportional to 702,578.82, 969,740.43 and 458,172.81 is: 632,396.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,578.82 : 969,740.43 = 458,172.81 : x
  2. Step 2: Convert to fraction form
    702,578.82/969,740.43 = 458,172.81/x
  3. Step 3: Cross multiply
    702,578.82x = 969,740.43 × 458,172.81
  4. Step 4: Simplify right side
    702,578.82x = 444,308,697,783.71
  5. Step 5: Solve for x
    x = 444,308,697,783.71/702,578.82
  6. Step 6: Final answer
    x = 632,396.94

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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.