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Finding the Fourth Proportional to 419,389.78, 578,782.11 and 315,838.57

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Solution

The fourth proportional to 419,389.78, 578,782.11 and 315,838.57 is: 435,875.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,389.78 : 578,782.11 = 315,838.57 : x
  2. Step 2: Convert to fraction form
    419,389.78/578,782.11 = 315,838.57/x
  3. Step 3: Cross multiply
    419,389.78x = 578,782.11 × 315,838.57
  4. Step 4: Simplify right side
    419,389.78x = 182,801,713,963.98
  5. Step 5: Solve for x
    x = 182,801,713,963.98/419,389.78
  6. Step 6: Final answer
    x = 435,875.46

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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.