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Finding the Fourth Proportional to 645,107.13, 890,278.22 and 358,632

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Solution

The fourth proportional to 645,107.13, 890,278.22 and 358,632 is: 494,929.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,107.13 : 890,278.22 = 358,632 : x
  2. Step 2: Convert to fraction form
    645,107.13/890,278.22 = 358,632/x
  3. Step 3: Cross multiply
    645,107.13x = 890,278.22 × 358,632
  4. Step 4: Simplify right side
    645,107.13x = 319,282,259,491.62
  5. Step 5: Solve for x
    x = 319,282,259,491.62/645,107.13
  6. Step 6: Final answer
    x = 494,929.05

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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.