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Finding the Fourth Proportional to 384,038.87, 530,172.96 and 280,556.94

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Solution

The fourth proportional to 384,038.87, 530,172.96 and 280,556.94 is: 387,314.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,038.87 : 530,172.96 = 280,556.94 : x
  2. Step 2: Convert to fraction form
    384,038.87/530,172.96 = 280,556.94/x
  3. Step 3: Cross multiply
    384,038.87x = 530,172.96 × 280,556.94
  4. Step 4: Simplify right side
    384,038.87x = 148,743,703,167.82
  5. Step 5: Solve for x
    x = 148,743,703,167.82/384,038.87
  6. Step 6: Final answer
    x = 387,314.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.