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Finding the Fourth Proportional to 272,894.72, 409,421.05 and 112,941.11

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Solution

The fourth proportional to 272,894.72, 409,421.05 and 112,941.11 is: 169,444.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,894.72 : 409,421.05 = 112,941.11 : x
  2. Step 2: Convert to fraction form
    272,894.72/409,421.05 = 112,941.11/x
  3. Step 3: Cross multiply
    272,894.72x = 409,421.05 × 112,941.11
  4. Step 4: Simplify right side
    272,894.72x = 46,240,468,585.57
  5. Step 5: Solve for x
    x = 46,240,468,585.57/272,894.72
  6. Step 6: Final answer
    x = 169,444.35

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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.