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Finding the Fourth Proportional to 393,492.96, 589,888.80 and 144,116.64

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Solution

The fourth proportional to 393,492.96, 589,888.80 and 144,116.64 is: 216,046.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,492.96 : 589,888.80 = 144,116.64 : x
  2. Step 2: Convert to fraction form
    393,492.96/589,888.80 = 144,116.64/x
  3. Step 3: Cross multiply
    393,492.96x = 589,888.80 × 144,116.64
  4. Step 4: Simplify right side
    393,492.96x = 85,012,791,829.63
  5. Step 5: Solve for x
    x = 85,012,791,829.63/393,492.96
  6. Step 6: Final answer
    x = 216,046.54

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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.