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Finding the Fourth Proportional to 605,329, 907,657.98 and 280,763.08

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Solution

The fourth proportional to 605,329, 907,657.98 and 280,763.08 is: 420,989.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,329 : 907,657.98 = 280,763.08 : x
  2. Step 2: Convert to fraction form
    605,329/907,657.98 = 280,763.08/x
  3. Step 3: Cross multiply
    605,329x = 907,657.98 × 280,763.08
  4. Step 4: Simplify right side
    605,329x = 254,836,850,051.38
  5. Step 5: Solve for x
    x = 254,836,850,051.38/605,329
  6. Step 6: Final answer
    x = 420,989.00

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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.