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Finding the Fourth Proportional to 471,878.84, 651,335.10 and 321,063.32

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Solution

The fourth proportional to 471,878.84, 651,335.10 and 321,063.32 is: 443,164.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,878.84 : 651,335.10 = 321,063.32 : x
  2. Step 2: Convert to fraction form
    471,878.84/651,335.10 = 321,063.32/x
  3. Step 3: Cross multiply
    471,878.84x = 651,335.10 × 321,063.32
  4. Step 4: Simplify right side
    471,878.84x = 209,119,809,638.53
  5. Step 5: Solve for x
    x = 209,119,809,638.53/471,878.84
  6. Step 6: Final answer
    x = 443,164.20

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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.