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Finding the Fourth Proportional to 513,876.32, 770,810.21 and 401,650.87

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Solution

The fourth proportional to 513,876.32, 770,810.21 and 401,650.87 is: 602,472.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,876.32 : 770,810.21 = 401,650.87 : x
  2. Step 2: Convert to fraction form
    513,876.32/770,810.21 = 401,650.87/x
  3. Step 3: Cross multiply
    513,876.32x = 770,810.21 × 401,650.87
  4. Step 4: Simplify right side
    513,876.32x = 309,596,590,528.48
  5. Step 5: Solve for x
    x = 309,596,590,528.48/513,876.32
  6. Step 6: Final answer
    x = 602,472.96

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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.