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Finding the Fourth Proportional to 313,821.40, 470,732.10 and 290,781.40

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Solution

The fourth proportional to 313,821.40, 470,732.10 and 290,781.40 is: 436,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,821.40 : 470,732.10 = 290,781.40 : x
  2. Step 2: Convert to fraction form
    313,821.40/470,732.10 = 290,781.40/x
  3. Step 3: Cross multiply
    313,821.40x = 470,732.10 × 290,781.40
  4. Step 4: Simplify right side
    313,821.40x = 136,880,139,062.94
  5. Step 5: Solve for x
    x = 136,880,139,062.94/313,821.40
  6. Step 6: Final answer
    x = 436,172.10

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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.