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Finding the Fourth Proportional to 434,615.40, 651,923.10 and 412,472.03

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Solution

The fourth proportional to 434,615.40, 651,923.10 and 412,472.03 is: 618,708.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,615.40 : 651,923.10 = 412,472.03 : x
  2. Step 2: Convert to fraction form
    434,615.40/651,923.10 = 412,472.03/x
  3. Step 3: Cross multiply
    434,615.40x = 651,923.10 × 412,472.03
  4. Step 4: Simplify right side
    434,615.40x = 268,900,041,201.28
  5. Step 5: Solve for x
    x = 268,900,041,201.28/434,615.40
  6. Step 6: Final answer
    x = 618,708.04

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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.