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Finding the Fourth Proportional to 434,559.40, 651,644.70 and 197,780.20

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Solution

The fourth proportional to 434,559.40, 651,644.70 and 197,780.20 is: 296,581.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,559.40 : 651,644.70 = 197,780.20 : x
  2. Step 2: Convert to fraction form
    434,559.40/651,644.70 = 197,780.20/x
  3. Step 3: Cross multiply
    434,559.40x = 651,644.70 × 197,780.20
  4. Step 4: Simplify right side
    434,559.40x = 128,882,419,094.94
  5. Step 5: Solve for x
    x = 128,882,419,094.94/434,559.40
  6. Step 6: Final answer
    x = 296,581.82

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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.