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Finding the Fourth Proportional to 221,464.60, 305,580.90 and 130,835.32

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Solution

The fourth proportional to 221,464.60, 305,580.90 and 130,835.32 is: 180,528.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,464.60 : 305,580.90 = 130,835.32 : x
  2. Step 2: Convert to fraction form
    221,464.60/305,580.90 = 130,835.32/x
  3. Step 3: Cross multiply
    221,464.60x = 305,580.90 × 130,835.32
  4. Step 4: Simplify right side
    221,464.60x = 39,980,774,564.07
  5. Step 5: Solve for x
    x = 39,980,774,564.07/221,464.60
  6. Step 6: Final answer
    x = 180,528.96

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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.