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Finding the Fourth Proportional to 524,652,011.20, 786,978,016.80 and 368,195,780.80

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Solution

The fourth proportional to 524,652,011.20, 786,978,016.80 and 368,195,780.80 is: 552,293,671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,652,011.20 : 786,978,016.80 = 368,195,780.80 : x
  2. Step 2: Convert to fraction form
    524,652,011.20/786,978,016.80 = 368,195,780.80/x
  3. Step 3: Cross multiply
    524,652,011.20x = 786,978,016.80 × 368,195,780.80
  4. Step 4: Simplify right side
    524,652,011.20x = 289,761,985,368,111,488
  5. Step 5: Solve for x
    x = 289,761,985,368,111,488/524,652,011.20
  6. Step 6: Final answer
    x = 552,293,671.20

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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.