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Finding the Fourth Proportional to 313,710.65, 470,495.30 and 89,066.46

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Solution

The fourth proportional to 313,710.65, 470,495.30 and 89,066.46 is: 133,579.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,710.65 : 470,495.30 = 89,066.46 : x
  2. Step 2: Convert to fraction form
    313,710.65/470,495.30 = 89,066.46/x
  3. Step 3: Cross multiply
    313,710.65x = 470,495.30 × 89,066.46
  4. Step 4: Simplify right side
    313,710.65x = 41,905,350,372.31
  5. Step 5: Solve for x
    x = 41,905,350,372.31/313,710.65
  6. Step 6: Final answer
    x = 133,579.63

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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.