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Finding the Fourth Proportional to 402,219.27, 603,325.58 and 162,329.49

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Solution

The fourth proportional to 402,219.27, 603,325.58 and 162,329.49 is: 243,492.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,219.27 : 603,325.58 = 162,329.49 : x
  2. Step 2: Convert to fraction form
    402,219.27/603,325.58 = 162,329.49/x
  3. Step 3: Cross multiply
    402,219.27x = 603,325.58 × 162,329.49
  4. Step 4: Simplify right side
    402,219.27x = 97,937,532,893.71
  5. Step 5: Solve for x
    x = 97,937,532,893.71/402,219.27
  6. Step 6: Final answer
    x = 243,492.89

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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.