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Finding the Fourth Proportional to 665,345.91, 918,176.46 and 378,866

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Solution

The fourth proportional to 665,345.91, 918,176.46 and 378,866 is: 522,834.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,345.91 : 918,176.46 = 378,866 : x
  2. Step 2: Convert to fraction form
    665,345.91/918,176.46 = 378,866/x
  3. Step 3: Cross multiply
    665,345.91x = 918,176.46 × 378,866
  4. Step 4: Simplify right side
    665,345.91x = 347,865,840,800.03
  5. Step 5: Solve for x
    x = 347,865,840,800.03/665,345.91
  6. Step 6: Final answer
    x = 522,834.57

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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.