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Finding the Fourth Proportional to 434,562.20, 651,624.60 and 257,123.60

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Solution

The fourth proportional to 434,562.20, 651,624.60 and 257,123.60 is: 385,556.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,562.20 : 651,624.60 = 257,123.60 : x
  2. Step 2: Convert to fraction form
    434,562.20/651,624.60 = 257,123.60/x
  3. Step 3: Cross multiply
    434,562.20x = 651,624.60 × 257,123.60
  4. Step 4: Simplify right side
    434,562.20x = 167,548,063,000.56
  5. Step 5: Solve for x
    x = 167,548,063,000.56/434,562.20
  6. Step 6: Final answer
    x = 385,556.00

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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.