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Finding the Fourth Proportional to 278,477.60, 417,716.40 and 91,495.20

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Solution

The fourth proportional to 278,477.60, 417,716.40 and 91,495.20 is: 137,242.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,477.60 : 417,716.40 = 91,495.20 : x
  2. Step 2: Convert to fraction form
    278,477.60/417,716.40 = 91,495.20/x
  3. Step 3: Cross multiply
    278,477.60x = 417,716.40 × 91,495.20
  4. Step 4: Simplify right side
    278,477.60x = 38,219,045,561.28
  5. Step 5: Solve for x
    x = 38,219,045,561.28/278,477.60
  6. Step 6: Final answer
    x = 137,242.80

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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.