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Finding the Fourth Proportional to 407,827.98, 611,774.37 and 108,300.78

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Solution

The fourth proportional to 407,827.98, 611,774.37 and 108,300.78 is: 162,459.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,827.98 : 611,774.37 = 108,300.78 : x
  2. Step 2: Convert to fraction form
    407,827.98/611,774.37 = 108,300.78/x
  3. Step 3: Cross multiply
    407,827.98x = 611,774.37 × 108,300.78
  4. Step 4: Simplify right side
    407,827.98x = 66,255,641,455.01
  5. Step 5: Solve for x
    x = 66,255,641,455.01/407,827.98
  6. Step 6: Final answer
    x = 162,459.77

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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.