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Finding the Fourth Proportional to 405,543.45, 607,039.70 and 278,439.87

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Solution

The fourth proportional to 405,543.45, 607,039.70 and 278,439.87 is: 416,784.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,543.45 : 607,039.70 = 278,439.87 : x
  2. Step 2: Convert to fraction form
    405,543.45/607,039.70 = 278,439.87/x
  3. Step 3: Cross multiply
    405,543.45x = 607,039.70 × 278,439.87
  4. Step 4: Simplify right side
    405,543.45x = 169,024,053,760.64
  5. Step 5: Solve for x
    x = 169,024,053,760.64/405,543.45
  6. Step 6: Final answer
    x = 416,784.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.