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Finding the Fourth Proportional to 287,745,648.40, 431,618,472.60 and 201,581,347.60

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Solution

The fourth proportional to 287,745,648.40, 431,618,472.60 and 201,581,347.60 is: 302,372,021.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,745,648.40 : 431,618,472.60 = 201,581,347.60 : x
  2. Step 2: Convert to fraction form
    287,745,648.40/431,618,472.60 = 201,581,347.60/x
  3. Step 3: Cross multiply
    287,745,648.40x = 431,618,472.60 × 201,581,347.60
  4. Step 4: Simplify right side
    287,745,648.40x = 87,006,233,355,761,680
  5. Step 5: Solve for x
    x = 87,006,233,355,761,680/287,745,648.40
  6. Step 6: Final answer
    x = 302,372,021.40

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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.