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Finding the Fourth Proportional to 309,563.60, 464,345.40 and 99,352.40

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Solution

The fourth proportional to 309,563.60, 464,345.40 and 99,352.40 is: 149,028.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,563.60 : 464,345.40 = 99,352.40 : x
  2. Step 2: Convert to fraction form
    309,563.60/464,345.40 = 99,352.40/x
  3. Step 3: Cross multiply
    309,563.60x = 464,345.40 × 99,352.40
  4. Step 4: Simplify right side
    309,563.60x = 46,133,829,918.96
  5. Step 5: Solve for x
    x = 46,133,829,918.96/309,563.60
  6. Step 6: Final answer
    x = 149,028.60

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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.