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Finding the Fourth Proportional to 488,611.78, 674,322.44 and 314,337.60

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Solution

The fourth proportional to 488,611.78, 674,322.44 and 314,337.60 is: 433,810.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,611.78 : 674,322.44 = 314,337.60 : x
  2. Step 2: Convert to fraction form
    488,611.78/674,322.44 = 314,337.60/x
  3. Step 3: Cross multiply
    488,611.78x = 674,322.44 × 314,337.60
  4. Step 4: Simplify right side
    488,611.78x = 211,964,895,844.06
  5. Step 5: Solve for x
    x = 211,964,895,844.06/488,611.78
  6. Step 6: Final answer
    x = 433,810.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.