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Finding the Fourth Proportional to 764,482.86, 1,055,006.64 and 420,333.30

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Solution

The fourth proportional to 764,482.86, 1,055,006.64 and 420,333.30 is: 580,071.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,482.86 : 1,055,006.64 = 420,333.30 : x
  2. Step 2: Convert to fraction form
    764,482.86/1,055,006.64 = 420,333.30/x
  3. Step 3: Cross multiply
    764,482.86x = 1,055,006.64 × 420,333.30
  4. Step 4: Simplify right side
    764,482.86x = 443,454,422,513.11
  5. Step 5: Solve for x
    x = 443,454,422,513.11/764,482.86
  6. Step 6: Final answer
    x = 580,071.11

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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.