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Finding the Fourth Proportional to 471,885.84, 651,344.76 and 321,070.32

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Solution

The fourth proportional to 471,885.84, 651,344.76 and 321,070.32 is: 443,173.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,885.84 : 651,344.76 = 321,070.32 : x
  2. Step 2: Convert to fraction form
    471,885.84/651,344.76 = 321,070.32/x
  3. Step 3: Cross multiply
    471,885.84x = 651,344.76 × 321,070.32
  4. Step 4: Simplify right side
    471,885.84x = 209,127,470,523.52
  5. Step 5: Solve for x
    x = 209,127,470,523.52/471,885.84
  6. Step 6: Final answer
    x = 443,173.86

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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.