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Finding the Fourth Proportional to 443,457.36, 611,970.12 and 242,254.80

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Solution

The fourth proportional to 443,457.36, 611,970.12 and 242,254.80 is: 334,311.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,457.36 : 611,970.12 = 242,254.80 : x
  2. Step 2: Convert to fraction form
    443,457.36/611,970.12 = 242,254.80/x
  3. Step 3: Cross multiply
    443,457.36x = 611,970.12 × 242,254.80
  4. Step 4: Simplify right side
    443,457.36x = 148,252,699,026.58
  5. Step 5: Solve for x
    x = 148,252,699,026.58/443,457.36
  6. Step 6: Final answer
    x = 334,311.06

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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.