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Finding the Fourth Proportional to 510,534.57, 765,916.07 and 155,576.37

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Solution

The fourth proportional to 510,534.57, 765,916.07 and 155,576.37 is: 233,399.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,534.57 : 765,916.07 = 155,576.37 : x
  2. Step 2: Convert to fraction form
    510,534.57/765,916.07 = 155,576.37/x
  3. Step 3: Cross multiply
    510,534.57x = 765,916.07 × 155,576.37
  4. Step 4: Simplify right side
    510,534.57x = 119,158,441,117.38
  5. Step 5: Solve for x
    x = 119,158,441,117.38/510,534.57
  6. Step 6: Final answer
    x = 233,399.36

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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.