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Finding the Fourth Proportional to 306,023.40, 458,586.90 and 274,433.40

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Solution

The fourth proportional to 306,023.40, 458,586.90 and 274,433.40 is: 411,248.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,023.40 : 458,586.90 = 274,433.40 : x
  2. Step 2: Convert to fraction form
    306,023.40/458,586.90 = 274,433.40/x
  3. Step 3: Cross multiply
    306,023.40x = 458,586.90 × 274,433.40
  4. Step 4: Simplify right side
    306,023.40x = 125,851,562,162.46
  5. Step 5: Solve for x
    x = 125,851,562,162.46/306,023.40
  6. Step 6: Final answer
    x = 411,248.17

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1.5x scale

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.