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Finding the Fourth Proportional to 403,872.78, 605,802.32 and 119,562.10

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Solution

The fourth proportional to 403,872.78, 605,802.32 and 119,562.10 is: 179,341.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,872.78 : 605,802.32 = 119,562.10 : x
  2. Step 2: Convert to fraction form
    403,872.78/605,802.32 = 119,562.10/x
  3. Step 3: Cross multiply
    403,872.78x = 605,802.32 × 119,562.10
  4. Step 4: Simplify right side
    403,872.78x = 72,430,997,564.07
  5. Step 5: Solve for x
    x = 72,430,997,564.07/403,872.78
  6. Step 6: Final answer
    x = 179,341.12

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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.