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Finding the Fourth Proportional to 401,672.16, 602,302.08 and 212,233.92

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Solution

The fourth proportional to 401,672.16, 602,302.08 and 212,233.92 is: 318,241.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,672.16 : 602,302.08 = 212,233.92 : x
  2. Step 2: Convert to fraction form
    401,672.16/602,302.08 = 212,233.92/x
  3. Step 3: Cross multiply
    401,672.16x = 602,302.08 × 212,233.92
  4. Step 4: Simplify right side
    401,672.16x = 127,828,931,462.55
  5. Step 5: Solve for x
    x = 127,828,931,462.55/401,672.16
  6. Step 6: Final answer
    x = 318,241.95

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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.