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Finding the Fourth Proportional to 478,515.40, 717,773.10 and 412,030.60

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Solution

The fourth proportional to 478,515.40, 717,773.10 and 412,030.60 is: 618,045.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,515.40 : 717,773.10 = 412,030.60 : x
  2. Step 2: Convert to fraction form
    478,515.40/717,773.10 = 412,030.60/x
  3. Step 3: Cross multiply
    478,515.40x = 717,773.10 × 412,030.60
  4. Step 4: Simplify right side
    478,515.40x = 295,744,481,056.86
  5. Step 5: Solve for x
    x = 295,744,481,056.86/478,515.40
  6. Step 6: Final answer
    x = 618,045.90

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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.