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Finding the Fourth Proportional to 407,143.10, 610,423.05 and 170,363.90

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Solution

The fourth proportional to 407,143.10, 610,423.05 and 170,363.90 is: 255,423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,143.10 : 610,423.05 = 170,363.90 : x
  2. Step 2: Convert to fraction form
    407,143.10/610,423.05 = 170,363.90/x
  3. Step 3: Cross multiply
    407,143.10x = 610,423.05 × 170,363.90
  4. Step 4: Simplify right side
    407,143.10x = 103,994,051,447.90
  5. Step 5: Solve for x
    x = 103,994,051,447.90/407,143.10
  6. Step 6: Final answer
    x = 255,423.83

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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.