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Finding the Fourth Proportional to 290,438.70, 435,658.05 and 190,905.90

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Solution

The fourth proportional to 290,438.70, 435,658.05 and 190,905.90 is: 286,358.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,438.70 : 435,658.05 = 190,905.90 : x
  2. Step 2: Convert to fraction form
    290,438.70/435,658.05 = 190,905.90/x
  3. Step 3: Cross multiply
    290,438.70x = 435,658.05 × 190,905.90
  4. Step 4: Simplify right side
    290,438.70x = 83,169,692,127.50
  5. Step 5: Solve for x
    x = 83,169,692,127.50/290,438.70
  6. Step 6: Final answer
    x = 286,358.85

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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.