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Finding the Fourth Proportional to 293,003.40, 439,505.10 and 105,971.16

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Solution

The fourth proportional to 293,003.40, 439,505.10 and 105,971.16 is: 158,956.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,003.40 : 439,505.10 = 105,971.16 : x
  2. Step 2: Convert to fraction form
    293,003.40/439,505.10 = 105,971.16/x
  3. Step 3: Cross multiply
    293,003.40x = 439,505.10 × 105,971.16
  4. Step 4: Simplify right side
    293,003.40x = 46,574,865,272.92
  5. Step 5: Solve for x
    x = 46,574,865,272.92/293,003.40
  6. Step 6: Final answer
    x = 158,956.74

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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.