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Finding the Fourth Proportional to 378,120.80, 566,646.60 and 209,715.32

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Solution

The fourth proportional to 378,120.80, 566,646.60 and 209,715.32 is: 314,276.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,120.80 : 566,646.60 = 209,715.32 : x
  2. Step 2: Convert to fraction form
    378,120.80/566,646.60 = 209,715.32/x
  3. Step 3: Cross multiply
    378,120.80x = 566,646.60 × 209,715.32
  4. Step 4: Simplify right side
    378,120.80x = 118,834,473,045.91
  5. Step 5: Solve for x
    x = 118,834,473,045.91/378,120.80
  6. Step 6: Final answer
    x = 314,276.48

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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.