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Finding the Fourth Proportional to 201,781,846.40, 302,672,769.60 and 56,237,871.20

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Solution

The fourth proportional to 201,781,846.40, 302,672,769.60 and 56,237,871.20 is: 84,356,806.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,781,846.40 : 302,672,769.60 = 56,237,871.20 : x
  2. Step 2: Convert to fraction form
    201,781,846.40/302,672,769.60 = 56,237,871.20/x
  3. Step 3: Cross multiply
    201,781,846.40x = 302,672,769.60 × 56,237,871.20
  4. Step 4: Simplify right side
    201,781,846.40x = 17,021,672,232,512,078
  5. Step 5: Solve for x
    x = 17,021,672,232,512,078/201,781,846.40
  6. Step 6: Final answer
    x = 84,356,806.80

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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.