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Finding the Fourth Proportional to 469,319.64, 647,658 and 254,459.04

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Solution

The fourth proportional to 469,319.64, 647,658 and 254,459.04 is: 351,151.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,319.64 : 647,658 = 254,459.04 : x
  2. Step 2: Convert to fraction form
    469,319.64/647,658 = 254,459.04/x
  3. Step 3: Cross multiply
    469,319.64x = 647,658 × 254,459.04
  4. Step 4: Simplify right side
    469,319.64x = 164,802,432,928.32
  5. Step 5: Solve for x
    x = 164,802,432,928.32/469,319.64
  6. Step 6: Final answer
    x = 351,151.79

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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.