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Finding the Fourth Proportional to 645,209, 890,388.42 and 362,585

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Solution

The fourth proportional to 645,209, 890,388.42 and 362,585 is: 500,367.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,209 : 890,388.42 = 362,585 : x
  2. Step 2: Convert to fraction form
    645,209/890,388.42 = 362,585/x
  3. Step 3: Cross multiply
    645,209x = 890,388.42 × 362,585
  4. Step 4: Simplify right side
    645,209x = 322,841,485,265.70
  5. Step 5: Solve for x
    x = 322,841,485,265.70/645,209
  6. Step 6: Final answer
    x = 500,367.30

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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.