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Finding the Fourth Proportional to 645,564, 890,878.32 and 362,940

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Solution

The fourth proportional to 645,564, 890,878.32 and 362,940 is: 500,857.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,564 : 890,878.32 = 362,940 : x
  2. Step 2: Convert to fraction form
    645,564/890,878.32 = 362,940/x
  3. Step 3: Cross multiply
    645,564x = 890,878.32 × 362,940
  4. Step 4: Simplify right side
    645,564x = 323,335,377,460.80
  5. Step 5: Solve for x
    x = 323,335,377,460.80/645,564
  6. Step 6: Final answer
    x = 500,857.20

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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.