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Finding the Fourth Proportional to 218,464.08, 301,503.12 and 133,637.60

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Solution

The fourth proportional to 218,464.08, 301,503.12 and 133,637.60 is: 184,433.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,464.08 : 301,503.12 = 133,637.60 : x
  2. Step 2: Convert to fraction form
    218,464.08/301,503.12 = 133,637.60/x
  3. Step 3: Cross multiply
    218,464.08x = 301,503.12 × 133,637.60
  4. Step 4: Simplify right side
    218,464.08x = 40,292,153,349.31
  5. Step 5: Solve for x
    x = 40,292,153,349.31/218,464.08
  6. Step 6: Final answer
    x = 184,433.77

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1.5x scale

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.