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Finding the Fourth Proportional to 399,343.72, 599,158.14 and 171,543.64

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Solution

The fourth proportional to 399,343.72, 599,158.14 and 171,543.64 is: 257,376.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,343.72 : 599,158.14 = 171,543.64 : x
  2. Step 2: Convert to fraction form
    399,343.72/599,158.14 = 171,543.64/x
  3. Step 3: Cross multiply
    399,343.72x = 599,158.14 × 171,543.64
  4. Step 4: Simplify right side
    399,343.72x = 102,781,768,271.23
  5. Step 5: Solve for x
    x = 102,781,768,271.23/399,343.72
  6. Step 6: Final answer
    x = 257,376.70

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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.