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Finding the Fourth Proportional to 524,652,012.40, 786,978,018.60 and 161,145,785.20

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Solution

The fourth proportional to 524,652,012.40, 786,978,018.60 and 161,145,785.20 is: 241,718,677.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,652,012.40 : 786,978,018.60 = 161,145,785.20 : x
  2. Step 2: Convert to fraction form
    524,652,012.40/786,978,018.60 = 161,145,785.20/x
  3. Step 3: Cross multiply
    524,652,012.40x = 786,978,018.60 × 161,145,785.20
  4. Step 4: Simplify right side
    524,652,012.40x = 126,818,190,742,437,200
  5. Step 5: Solve for x
    x = 126,818,190,742,437,200/524,652,012.40
  6. Step 6: Final answer
    x = 241,718,677.80

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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.