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Finding the Fourth Proportional to 378,977.60, 568,367.40 and 112,666.40

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Solution

The fourth proportional to 378,977.60, 568,367.40 and 112,666.40 is: 168,970.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,977.60 : 568,367.40 = 112,666.40 : x
  2. Step 2: Convert to fraction form
    378,977.60/568,367.40 = 112,666.40/x
  3. Step 3: Cross multiply
    378,977.60x = 568,367.40 × 112,666.40
  4. Step 4: Simplify right side
    378,977.60x = 64,035,908,835.36
  5. Step 5: Solve for x
    x = 64,035,908,835.36/378,977.60
  6. Step 6: Final answer
    x = 168,970.17

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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.