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Finding the Fourth Proportional to 486,491.70, 729,492.54 and 162,164.96

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Solution

The fourth proportional to 486,491.70, 729,492.54 and 162,164.96 is: 243,165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,491.70 : 729,492.54 = 162,164.96 : x
  2. Step 2: Convert to fraction form
    486,491.70/729,492.54 = 162,164.96/x
  3. Step 3: Cross multiply
    486,491.70x = 729,492.54 × 162,164.96
  4. Step 4: Simplify right side
    486,491.70x = 118,298,128,569.40
  5. Step 5: Solve for x
    x = 118,298,128,569.40/486,491.70
  6. Step 6: Final answer
    x = 243,165.77

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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.