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Finding the Fourth Proportional to 315,152, 472,462.84 and 146,586.68

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Solution

The fourth proportional to 315,152, 472,462.84 and 146,586.68 is: 219,756.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,152 : 472,462.84 = 146,586.68 : x
  2. Step 2: Convert to fraction form
    315,152/472,462.84 = 146,586.68/x
  3. Step 3: Cross multiply
    315,152x = 472,462.84 × 146,586.68
  4. Step 4: Simplify right side
    315,152x = 69,256,759,138.97
  5. Step 5: Solve for x
    x = 69,256,759,138.97/315,152
  6. Step 6: Final answer
    x = 219,756.69

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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.