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Finding the Fourth Proportional to 412,129.31, 567,416.63 and 321,368.81

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Solution

The fourth proportional to 412,129.31, 567,416.63 and 321,368.81 is: 442,458.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,129.31 : 567,416.63 = 321,368.81 : x
  2. Step 2: Convert to fraction form
    412,129.31/567,416.63 = 321,368.81/x
  3. Step 3: Cross multiply
    412,129.31x = 567,416.63 × 321,368.81
  4. Step 4: Simplify right side
    412,129.31x = 182,350,005,550.47
  5. Step 5: Solve for x
    x = 182,350,005,550.47/412,129.31
  6. Step 6: Final answer
    x = 442,458.23

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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.