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Finding the Fourth Proportional to 490,420.68, 735,240 and 451,056.84

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Solution

The fourth proportional to 490,420.68, 735,240 and 451,056.84 is: 676,225.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,420.68 : 735,240 = 451,056.84 : x
  2. Step 2: Convert to fraction form
    490,420.68/735,240 = 451,056.84/x
  3. Step 3: Cross multiply
    490,420.68x = 735,240 × 451,056.84
  4. Step 4: Simplify right side
    490,420.68x = 331,635,031,041.60
  5. Step 5: Solve for x
    x = 331,635,031,041.60/490,420.68
  6. Step 6: Final answer
    x = 676,225.63

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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.