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Finding the Fourth Proportional to 307,394, 424,203.72 and 166,082

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Solution

The fourth proportional to 307,394, 424,203.72 and 166,082 is: 229,193.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,394 : 424,203.72 = 166,082 : x
  2. Step 2: Convert to fraction form
    307,394/424,203.72 = 166,082/x
  3. Step 3: Cross multiply
    307,394x = 424,203.72 × 166,082
  4. Step 4: Simplify right side
    307,394x = 70,452,602,225.04
  5. Step 5: Solve for x
    x = 70,452,602,225.04/307,394
  6. Step 6: Final answer
    x = 229,193.16

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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.