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Finding the Fourth Proportional to 631,920.82, 872,050.83 and 345,442.06

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Solution

The fourth proportional to 631,920.82, 872,050.83 and 345,442.06 is: 476,710.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,920.82 : 872,050.83 = 345,442.06 : x
  2. Step 2: Convert to fraction form
    631,920.82/872,050.83 = 345,442.06/x
  3. Step 3: Cross multiply
    631,920.82x = 872,050.83 × 345,442.06
  4. Step 4: Simplify right side
    631,920.82x = 301,243,035,139.91
  5. Step 5: Solve for x
    x = 301,243,035,139.91/631,920.82
  6. Step 6: Final answer
    x = 476,710.10

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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.