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Finding the Fourth Proportional to 380,123.52, 570,394.08 and 193,151.04

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Solution

The fourth proportional to 380,123.52, 570,394.08 and 193,151.04 is: 289,832.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,123.52 : 570,394.08 = 193,151.04 : x
  2. Step 2: Convert to fraction form
    380,123.52/570,394.08 = 193,151.04/x
  3. Step 3: Cross multiply
    380,123.52x = 570,394.08 × 193,151.04
  4. Step 4: Simplify right side
    380,123.52x = 110,172,209,761.84
  5. Step 5: Solve for x
    x = 110,172,209,761.84/380,123.52
  6. Step 6: Final answer
    x = 289,832.66

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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.