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Finding the Fourth Proportional to 647,116.20, 970,868.70 and 460,492.20

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Solution

The fourth proportional to 647,116.20, 970,868.70 and 460,492.20 is: 690,876.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,116.20 : 970,868.70 = 460,492.20 : x
  2. Step 2: Convert to fraction form
    647,116.20/970,868.70 = 460,492.20/x
  3. Step 3: Cross multiply
    647,116.20x = 970,868.70 × 460,492.20
  4. Step 4: Simplify right side
    647,116.20x = 447,077,463,574.14
  5. Step 5: Solve for x
    x = 447,077,463,574.14/647,116.20
  6. Step 6: Final answer
    x = 690,876.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.