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Finding the Fourth Proportional to 434,571.40, 651,857.10 and 412,428.03

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Solution

The fourth proportional to 434,571.40, 651,857.10 and 412,428.03 is: 618,642.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,571.40 : 651,857.10 = 412,428.03 : x
  2. Step 2: Convert to fraction form
    434,571.40/651,857.10 = 412,428.03/x
  3. Step 3: Cross multiply
    434,571.40x = 651,857.10 × 412,428.03
  4. Step 4: Simplify right side
    434,571.40x = 268,844,139,594.51
  5. Step 5: Solve for x
    x = 268,844,139,594.51/434,571.40
  6. Step 6: Final answer
    x = 618,642.05

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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.