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Finding the Fourth Proportional to 410,729.40, 616,052.34 and 278,459.64

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Solution

The fourth proportional to 410,729.40, 616,052.34 and 278,459.64 is: 417,661.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,729.40 : 616,052.34 = 278,459.64 : x
  2. Step 2: Convert to fraction form
    410,729.40/616,052.34 = 278,459.64/x
  3. Step 3: Cross multiply
    410,729.40x = 616,052.34 × 278,459.64
  4. Step 4: Simplify right side
    410,729.40x = 171,545,712,817.56
  5. Step 5: Solve for x
    x = 171,545,712,817.56/410,729.40
  6. Step 6: Final answer
    x = 417,661.15

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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.