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Finding the Fourth Proportional to 482,847.90, 724,401.45 and 430,619.10

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Solution

The fourth proportional to 482,847.90, 724,401.45 and 430,619.10 is: 646,044.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,847.90 : 724,401.45 = 430,619.10 : x
  2. Step 2: Convert to fraction form
    482,847.90/724,401.45 = 430,619.10/x
  3. Step 3: Cross multiply
    482,847.90x = 724,401.45 × 430,619.10
  4. Step 4: Simplify right side
    482,847.90x = 311,941,100,437.70
  5. Step 5: Solve for x
    x = 311,941,100,437.70/482,847.90
  6. Step 6: Final answer
    x = 646,044.23

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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.