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Finding the Fourth Proportional to 598,280, 825,684.72 and 330,008

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Solution

The fourth proportional to 598,280, 825,684.72 and 330,008 is: 455,443.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,280 : 825,684.72 = 330,008 : x
  2. Step 2: Convert to fraction form
    598,280/825,684.72 = 330,008/x
  3. Step 3: Cross multiply
    598,280x = 825,684.72 × 330,008
  4. Step 4: Simplify right side
    598,280x = 272,482,563,077.76
  5. Step 5: Solve for x
    x = 272,482,563,077.76/598,280
  6. Step 6: Final answer
    x = 455,443.21

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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.