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Finding the Fourth Proportional to 403,091.50, 601,407.93 and 321,659.24

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Solution

The fourth proportional to 403,091.50, 601,407.93 and 321,659.24 is: 479,911.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,091.50 : 601,407.93 = 321,659.24 : x
  2. Step 2: Convert to fraction form
    403,091.50/601,407.93 = 321,659.24/x
  3. Step 3: Cross multiply
    403,091.50x = 601,407.93 × 321,659.24
  4. Step 4: Simplify right side
    403,091.50x = 193,448,417,693.77
  5. Step 5: Solve for x
    x = 193,448,417,693.77/403,091.50
  6. Step 6: Final answer
    x = 479,911.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.