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Finding the Fourth Proportional to 306,672, 460,008 and 85,056

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Solution

The fourth proportional to 306,672, 460,008 and 85,056 is: 127,584

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,672 : 460,008 = 85,056 : x
  2. Step 2: Convert to fraction form
    306,672/460,008 = 85,056/x
  3. Step 3: Cross multiply
    306,672x = 460,008 × 85,056
  4. Step 4: Simplify right side
    306,672x = 39,126,440,448
  5. Step 5: Solve for x
    x = 39,126,440,448/306,672
  6. Step 6: Final answer
    x = 127,584

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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.