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Finding the Fourth Proportional to 378,114.55, 567,007.80 and 153,400.30

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Solution

The fourth proportional to 378,114.55, 567,007.80 and 153,400.30 is: 230,033.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,114.55 : 567,007.80 = 153,400.30 : x
  2. Step 2: Convert to fraction form
    378,114.55/567,007.80 = 153,400.30/x
  3. Step 3: Cross multiply
    378,114.55x = 567,007.80 × 153,400.30
  4. Step 4: Simplify right side
    378,114.55x = 86,979,166,622.34
  5. Step 5: Solve for x
    x = 86,979,166,622.34/378,114.55
  6. Step 6: Final answer
    x = 230,033.91

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1.5x scale

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.