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Finding the Fourth Proportional to 513,595.94, 769,762.92 and 288,483.14

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Solution

The fourth proportional to 513,595.94, 769,762.92 and 288,483.14 is: 432,370.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,595.94 : 769,762.92 = 288,483.14 : x
  2. Step 2: Convert to fraction form
    513,595.94/769,762.92 = 288,483.14/x
  3. Step 3: Cross multiply
    513,595.94x = 769,762.92 × 288,483.14
  4. Step 4: Simplify right side
    513,595.94x = 222,063,624,217.17
  5. Step 5: Solve for x
    x = 222,063,624,217.17/513,595.94
  6. Step 6: Final answer
    x = 432,370.29

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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.