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Finding the Fourth Proportional to 510,863.90, 704,964.48 and 281,376.53

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Solution

The fourth proportional to 510,863.90, 704,964.48 and 281,376.53 is: 388,284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,863.90 : 704,964.48 = 281,376.53 : x
  2. Step 2: Convert to fraction form
    510,863.90/704,964.48 = 281,376.53/x
  3. Step 3: Cross multiply
    510,863.90x = 704,964.48 × 281,376.53
  4. Step 4: Simplify right side
    510,863.90x = 198,360,459,155.65
  5. Step 5: Solve for x
    x = 198,360,459,155.65/510,863.90
  6. Step 6: Final answer
    x = 388,284.35

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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.