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Finding the Fourth Proportional to 284,172.30, 392,157.03 and 156,847.02

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Solution

The fourth proportional to 284,172.30, 392,157.03 and 156,847.02 is: 216,448.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,172.30 : 392,157.03 = 156,847.02 : x
  2. Step 2: Convert to fraction form
    284,172.30/392,157.03 = 156,847.02/x
  3. Step 3: Cross multiply
    284,172.30x = 392,157.03 × 156,847.02
  4. Step 4: Simplify right side
    284,172.30x = 61,508,661,527.55
  5. Step 5: Solve for x
    x = 61,508,661,527.55/284,172.30
  6. Step 6: Final answer
    x = 216,448.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.