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Finding the Fourth Proportional to 380,290.57, 570,503.75 and 127,653.35

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Solution

The fourth proportional to 380,290.57, 570,503.75 and 127,653.35 is: 191,502.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,290.57 : 570,503.75 = 127,653.35 : x
  2. Step 2: Convert to fraction form
    380,290.57/570,503.75 = 127,653.35/x
  3. Step 3: Cross multiply
    380,290.57x = 570,503.75 × 127,653.35
  4. Step 4: Simplify right side
    380,290.57x = 72,826,711,384.28
  5. Step 5: Solve for x
    x = 72,826,711,384.28/380,290.57
  6. Step 6: Final answer
    x = 191,502.81

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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.