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Finding the Fourth Proportional to 315,236.32, 472,588.40 and 146,669.68

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Solution

The fourth proportional to 315,236.32, 472,588.40 and 146,669.68 is: 219,880.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,236.32 : 472,588.40 = 146,669.68 : x
  2. Step 2: Convert to fraction form
    315,236.32/472,588.40 = 146,669.68/x
  3. Step 3: Cross multiply
    315,236.32x = 472,588.40 × 146,669.68
  4. Step 4: Simplify right side
    315,236.32x = 69,314,389,399.71
  5. Step 5: Solve for x
    x = 69,314,389,399.71/315,236.32
  6. Step 6: Final answer
    x = 219,880.72

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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.