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Finding the Fourth Proportional to 393,989.94, 591,043.23 and 144,652.50

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Solution

The fourth proportional to 393,989.94, 591,043.23 and 144,652.50 is: 217,000.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,989.94 : 591,043.23 = 144,652.50 : x
  2. Step 2: Convert to fraction form
    393,989.94/591,043.23 = 144,652.50/x
  3. Step 3: Cross multiply
    393,989.94x = 591,043.23 × 144,652.50
  4. Step 4: Simplify right side
    393,989.94x = 85,495,880,827.58
  5. Step 5: Solve for x
    x = 85,495,880,827.58/393,989.94
  6. Step 6: Final answer
    x = 217,000.16

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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.