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Finding the Fourth Proportional to 315,649.73, 473,681.75 and 115,971.77

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Solution

The fourth proportional to 315,649.73, 473,681.75 and 115,971.77 is: 174,033.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,649.73 : 473,681.75 = 115,971.77 : x
  2. Step 2: Convert to fraction form
    315,649.73/473,681.75 = 115,971.77/x
  3. Step 3: Cross multiply
    315,649.73x = 473,681.75 × 115,971.77
  4. Step 4: Simplify right side
    315,649.73x = 54,933,708,015.93
  5. Step 5: Solve for x
    x = 54,933,708,015.93/315,649.73
  6. Step 6: Final answer
    x = 174,033.76

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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.