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Finding the Fourth Proportional to 293,810.40, 440,715.60 and 72,194.40

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Solution

The fourth proportional to 293,810.40, 440,715.60 and 72,194.40 is: 108,291.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,810.40 : 440,715.60 = 72,194.40 : x
  2. Step 2: Convert to fraction form
    293,810.40/440,715.60 = 72,194.40/x
  3. Step 3: Cross multiply
    293,810.40x = 440,715.60 × 72,194.40
  4. Step 4: Simplify right side
    293,810.40x = 31,817,198,312.64
  5. Step 5: Solve for x
    x = 31,817,198,312.64/293,810.40
  6. Step 6: Final answer
    x = 108,291.60

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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.