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Finding the Fourth Proportional to 645,112.13, 890,285.13 and 358,637

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Solution

The fourth proportional to 645,112.13, 890,285.13 and 358,637 is: 494,935.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,112.13 : 890,285.13 = 358,637 : x
  2. Step 2: Convert to fraction form
    645,112.13/890,285.13 = 358,637/x
  3. Step 3: Cross multiply
    645,112.13x = 890,285.13 × 358,637
  4. Step 4: Simplify right side
    645,112.13x = 319,289,188,167.81
  5. Step 5: Solve for x
    x = 319,289,188,167.81/645,112.13
  6. Step 6: Final answer
    x = 494,935.96

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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.