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Finding the Fourth Proportional to 313,894.98, 470,688.03 and 100,612.89

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Solution

The fourth proportional to 313,894.98, 470,688.03 and 100,612.89 is: 150,869.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,894.98 : 470,688.03 = 100,612.89 : x
  2. Step 2: Convert to fraction form
    313,894.98/470,688.03 = 100,612.89/x
  3. Step 3: Cross multiply
    313,894.98x = 470,688.03 × 100,612.89
  4. Step 4: Simplify right side
    313,894.98x = 47,357,282,986.71
  5. Step 5: Solve for x
    x = 47,357,282,986.71/313,894.98
  6. Step 6: Final answer
    x = 150,869.83

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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.