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Finding the Fourth Proportional to 407,894.32, 608,847.38 and 377,834.69

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Solution

The fourth proportional to 407,894.32, 608,847.38 and 377,834.69 is: 563,978.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,894.32 : 608,847.38 = 377,834.69 : x
  2. Step 2: Convert to fraction form
    407,894.32/608,847.38 = 377,834.69/x
  3. Step 3: Cross multiply
    407,894.32x = 608,847.38 × 377,834.69
  4. Step 4: Simplify right side
    407,894.32x = 230,043,661,079.61
  5. Step 5: Solve for x
    x = 230,043,661,079.61/407,894.32
  6. Step 6: Final answer
    x = 563,978.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.