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Finding the Fourth Proportional to 432,652,459.59, 648,978,689.39 and 105,126,289.83

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Solution

The fourth proportional to 432,652,459.59, 648,978,689.39 and 105,126,289.83 is: 157,689,434.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,652,459.59 : 648,978,689.39 = 105,126,289.83 : x
  2. Step 2: Convert to fraction form
    432,652,459.59/648,978,689.39 = 105,126,289.83/x
  3. Step 3: Cross multiply
    432,652,459.59x = 648,978,689.39 × 105,126,289.83
  4. Step 4: Simplify right side
    432,652,459.59x = 68,224,721,793,781,056
  5. Step 5: Solve for x
    x = 68,224,721,793,781,056/432,652,459.59
  6. Step 6: Final answer
    x = 157,689,434.75

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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.