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Finding the Fourth Proportional to 290,347.70, 434,938.35 and 201,701.30

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Solution

The fourth proportional to 290,347.70, 434,938.35 and 201,701.30 is: 302,146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,347.70 : 434,938.35 = 201,701.30 : x
  2. Step 2: Convert to fraction form
    290,347.70/434,938.35 = 201,701.30/x
  3. Step 3: Cross multiply
    290,347.70x = 434,938.35 × 201,701.30
  4. Step 4: Simplify right side
    290,347.70x = 87,727,630,614.86
  5. Step 5: Solve for x
    x = 87,727,630,614.86/290,347.70
  6. Step 6: Final answer
    x = 302,146.81

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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.