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Finding the Fourth Proportional to 309,485.69, 464,228.53 and 204,280.05

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Solution

The fourth proportional to 309,485.69, 464,228.53 and 204,280.05 is: 306,420.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,485.69 : 464,228.53 = 204,280.05 : x
  2. Step 2: Convert to fraction form
    309,485.69/464,228.53 = 204,280.05/x
  3. Step 3: Cross multiply
    309,485.69x = 464,228.53 × 204,280.05
  4. Step 4: Simplify right side
    309,485.69x = 94,832,627,319.83
  5. Step 5: Solve for x
    x = 94,832,627,319.83/309,485.69
  6. Step 6: Final answer
    x = 306,420.07

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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.