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Finding the Fourth Proportional to 278,668.64, 417,871.28 and 107,970.32

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Solution

The fourth proportional to 278,668.64, 417,871.28 and 107,970.32 is: 161,904.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,668.64 : 417,871.28 = 107,970.32 : x
  2. Step 2: Convert to fraction form
    278,668.64/417,871.28 = 107,970.32/x
  3. Step 3: Cross multiply
    278,668.64x = 417,871.28 × 107,970.32
  4. Step 4: Simplify right side
    278,668.64x = 45,117,695,820.41
  5. Step 5: Solve for x
    x = 45,117,695,820.41/278,668.64
  6. Step 6: Final answer
    x = 161,904.46

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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.