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Finding the Fourth Proportional to 470,153.46, 705,208.32 and 115,148.69

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Solution

The fourth proportional to 470,153.46, 705,208.32 and 115,148.69 is: 172,717.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,153.46 : 705,208.32 = 115,148.69 : x
  2. Step 2: Convert to fraction form
    470,153.46/705,208.32 = 115,148.69/x
  3. Step 3: Cross multiply
    470,153.46x = 705,208.32 × 115,148.69
  4. Step 4: Simplify right side
    470,153.46x = 81,203,810,699.06
  5. Step 5: Solve for x
    x = 81,203,810,699.06/470,153.46
  6. Step 6: Final answer
    x = 172,717.67

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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.