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Finding the Fourth Proportional to 434,572.40, 651,858.60 and 412,429.03

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Solution

The fourth proportional to 434,572.40, 651,858.60 and 412,429.03 is: 618,643.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,572.40 : 651,858.60 = 412,429.03 : x
  2. Step 2: Convert to fraction form
    434,572.40/651,858.60 = 412,429.03/x
  3. Step 3: Cross multiply
    434,572.40x = 651,858.60 × 412,429.03
  4. Step 4: Simplify right side
    434,572.40x = 268,845,410,095.16
  5. Step 5: Solve for x
    x = 268,845,410,095.16/434,572.40
  6. Step 6: Final answer
    x = 618,643.55

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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.