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Finding the Fourth Proportional to 443,457.86, 611,970.81 and 242,255.30

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Solution

The fourth proportional to 443,457.86, 611,970.81 and 242,255.30 is: 334,311.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,457.86 : 611,970.81 = 242,255.30 : x
  2. Step 2: Convert to fraction form
    443,457.86/611,970.81 = 242,255.30/x
  3. Step 3: Cross multiply
    443,457.86x = 611,970.81 × 242,255.30
  4. Step 4: Simplify right side
    443,457.86x = 148,253,172,167.79
  5. Step 5: Solve for x
    x = 148,253,172,167.79/443,457.86
  6. Step 6: Final answer
    x = 334,311.75

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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.