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Finding the Fourth Proportional to 478,505.40, 717,350.40 and 212,120.70

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Solution

The fourth proportional to 478,505.40, 717,350.40 and 212,120.70 is: 318,000.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,505.40 : 717,350.40 = 212,120.70 : x
  2. Step 2: Convert to fraction form
    478,505.40/717,350.40 = 212,120.70/x
  3. Step 3: Cross multiply
    478,505.40x = 717,350.40 × 212,120.70
  4. Step 4: Simplify right side
    478,505.40x = 152,164,868,993.28
  5. Step 5: Solve for x
    x = 152,164,868,993.28/478,505.40
  6. Step 6: Final answer
    x = 318,000.32

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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.