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Finding the Fourth Proportional to 314,035.65, 470,982.69 and 89,391.12

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Solution

The fourth proportional to 314,035.65, 470,982.69 and 89,391.12 is: 134,066.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,035.65 : 470,982.69 = 89,391.12 : x
  2. Step 2: Convert to fraction form
    314,035.65/470,982.69 = 89,391.12/x
  3. Step 3: Cross multiply
    314,035.65x = 470,982.69 × 89,391.12
  4. Step 4: Simplify right side
    314,035.65x = 42,101,670,159.71
  5. Step 5: Solve for x
    x = 42,101,670,159.71/314,035.65
  6. Step 6: Final answer
    x = 134,066.53

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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.