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Finding the Fourth Proportional to 861,794.77, 1,290,261.80 and 456,068

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Solution

The fourth proportional to 861,794.77, 1,290,261.80 and 456,068 is: 682,815.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,794.77 : 1,290,261.80 = 456,068 : x
  2. Step 2: Convert to fraction form
    861,794.77/1,290,261.80 = 456,068/x
  3. Step 3: Cross multiply
    861,794.77x = 1,290,261.80 × 456,068
  4. Step 4: Simplify right side
    861,794.77x = 588,447,118,602.40
  5. Step 5: Solve for x
    x = 588,447,118,602.40/861,794.77
  6. Step 6: Final answer
    x = 682,815.84

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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.