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Finding the Fourth Proportional to 310,950, 466,426.08 and 86,328

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Solution

The fourth proportional to 310,950, 466,426.08 and 86,328 is: 129,492.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,950 : 466,426.08 = 86,328 : x
  2. Step 2: Convert to fraction form
    310,950/466,426.08 = 86,328/x
  3. Step 3: Cross multiply
    310,950x = 466,426.08 × 86,328
  4. Step 4: Simplify right side
    310,950x = 40,265,630,634.24
  5. Step 5: Solve for x
    x = 40,265,630,634.24/310,950
  6. Step 6: Final answer
    x = 129,492.30

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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.