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Finding the Fourth Proportional to 380,308.57, 570,530.72 and 127,671.32

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Solution

The fourth proportional to 380,308.57, 570,530.72 and 127,671.32 is: 191,529.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,308.57 : 570,530.72 = 127,671.32 : x
  2. Step 2: Convert to fraction form
    380,308.57/570,530.72 = 127,671.32/x
  3. Step 3: Cross multiply
    380,308.57x = 570,530.72 × 127,671.32
  4. Step 4: Simplify right side
    380,308.57x = 72,840,411,868.46
  5. Step 5: Solve for x
    x = 72,840,411,868.46/380,308.57
  6. Step 6: Final answer
    x = 191,529.77

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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.