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Finding the Fourth Proportional to 305,698.30, 458,567.70 and 81,055.60

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Solution

The fourth proportional to 305,698.30, 458,567.70 and 81,055.60 is: 121,588.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,698.30 : 458,567.70 = 81,055.60 : x
  2. Step 2: Convert to fraction form
    305,698.30/458,567.70 = 81,055.60/x
  3. Step 3: Cross multiply
    305,698.30x = 458,567.70 × 81,055.60
  4. Step 4: Simplify right side
    305,698.30x = 37,169,480,064.12
  5. Step 5: Solve for x
    x = 37,169,480,064.12/305,698.30
  6. Step 6: Final answer
    x = 121,588.77

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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.