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Finding the Fourth Proportional to 524,308.50, 786,465.63 and 130,324.50

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Solution

The fourth proportional to 524,308.50, 786,465.63 and 130,324.50 is: 195,487.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,308.50 : 786,465.63 = 130,324.50 : x
  2. Step 2: Convert to fraction form
    524,308.50/786,465.63 = 130,324.50/x
  3. Step 3: Cross multiply
    524,308.50x = 786,465.63 × 130,324.50
  4. Step 4: Simplify right side
    524,308.50x = 102,495,739,996.94
  5. Step 5: Solve for x
    x = 102,495,739,996.94/524,308.50
  6. Step 6: Final answer
    x = 195,487.47

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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.