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Finding the Fourth Proportional to 647,368.20, 969,302.70 and 507,400.20

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Solution

The fourth proportional to 647,368.20, 969,302.70 and 507,400.20 is: 759,728.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,368.20 : 969,302.70 = 507,400.20 : x
  2. Step 2: Convert to fraction form
    647,368.20/969,302.70 = 507,400.20/x
  3. Step 3: Cross multiply
    647,368.20x = 969,302.70 × 507,400.20
  4. Step 4: Simplify right side
    647,368.20x = 491,824,383,840.54
  5. Step 5: Solve for x
    x = 491,824,383,840.54/647,368.20
  6. Step 6: Final answer
    x = 759,728.98

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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.