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Finding the Fourth Proportional to 524,265,211.20, 786,901,701.60 and 265,772,308.80

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Solution

The fourth proportional to 524,265,211.20, 786,901,701.60 and 265,772,308.80 is: 398,913,903.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,265,211.20 : 786,901,701.60 = 265,772,308.80 : x
  2. Step 2: Convert to fraction form
    524,265,211.20/786,901,701.60 = 265,772,308.80/x
  3. Step 3: Cross multiply
    524,265,211.20x = 786,901,701.60 × 265,772,308.80
  4. Step 4: Simplify right side
    524,265,211.20x = 209,136,682,032,880,672
  5. Step 5: Solve for x
    x = 209,136,682,032,880,672/524,265,211.20
  6. Step 6: Final answer
    x = 398,913,903.81

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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.