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Finding the Fourth Proportional to 291,265.76, 402,071.12 and 195,827.80

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Solution

The fourth proportional to 291,265.76, 402,071.12 and 195,827.80 is: 270,325.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,265.76 : 402,071.12 = 195,827.80 : x
  2. Step 2: Convert to fraction form
    291,265.76/402,071.12 = 195,827.80/x
  3. Step 3: Cross multiply
    291,265.76x = 402,071.12 × 195,827.80
  4. Step 4: Simplify right side
    291,265.76x = 78,736,702,873.14
  5. Step 5: Solve for x
    x = 78,736,702,873.14/291,265.76
  6. Step 6: Final answer
    x = 270,325.98

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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.