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Finding the Fourth Proportional to 402,172.56, 603,269.78 and 121,689.81

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Solution

The fourth proportional to 402,172.56, 603,269.78 and 121,689.81 is: 182,538.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,172.56 : 603,269.78 = 121,689.81 : x
  2. Step 2: Convert to fraction form
    402,172.56/603,269.78 = 121,689.81/x
  3. Step 3: Cross multiply
    402,172.56x = 603,269.78 × 121,689.81
  4. Step 4: Simplify right side
    402,172.56x = 73,411,784,298.49
  5. Step 5: Solve for x
    x = 73,411,784,298.49/402,172.56
  6. Step 6: Final answer
    x = 182,538.02

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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.