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Finding the Fourth Proportional to 290,394, 435,182.40 and 230,965.92

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Solution

The fourth proportional to 290,394, 435,182.40 and 230,965.92 is: 346,123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,394 : 435,182.40 = 230,965.92 : x
  2. Step 2: Convert to fraction form
    290,394/435,182.40 = 230,965.92/x
  3. Step 3: Cross multiply
    290,394x = 435,182.40 × 230,965.92
  4. Step 4: Simplify right side
    290,394x = 100,512,303,383.81
  5. Step 5: Solve for x
    x = 100,512,303,383.81/290,394
  6. Step 6: Final answer
    x = 346,123.90

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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.