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Finding the Fourth Proportional to 307,215, 423,956.70 and 165,903

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Solution

The fourth proportional to 307,215, 423,956.70 and 165,903 is: 228,946.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,215 : 423,956.70 = 165,903 : x
  2. Step 2: Convert to fraction form
    307,215/423,956.70 = 165,903/x
  3. Step 3: Cross multiply
    307,215x = 423,956.70 × 165,903
  4. Step 4: Simplify right side
    307,215x = 70,335,688,400.10
  5. Step 5: Solve for x
    x = 70,335,688,400.10/307,215
  6. Step 6: Final answer
    x = 228,946.14

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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.