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Finding the Fourth Proportional to 296,651.16, 409,265.64 and 219,312.52

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Solution

The fourth proportional to 296,651.16, 409,265.64 and 219,312.52 is: 302,567.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,651.16 : 409,265.64 = 219,312.52 : x
  2. Step 2: Convert to fraction form
    296,651.16/409,265.64 = 219,312.52/x
  3. Step 3: Cross multiply
    296,651.16x = 409,265.64 × 219,312.52
  4. Step 4: Simplify right side
    296,651.16x = 89,757,078,857.81
  5. Step 5: Solve for x
    x = 89,757,078,857.81/296,651.16
  6. Step 6: Final answer
    x = 302,567.77

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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.