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Finding the Fourth Proportional to 315,709.92, 473,564.88 and 128,688.48

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Solution

The fourth proportional to 315,709.92, 473,564.88 and 128,688.48 is: 193,032.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,709.92 : 473,564.88 = 128,688.48 : x
  2. Step 2: Convert to fraction form
    315,709.92/473,564.88 = 128,688.48/x
  3. Step 3: Cross multiply
    315,709.92x = 473,564.88 × 128,688.48
  4. Step 4: Simplify right side
    315,709.92x = 60,942,344,588.58
  5. Step 5: Solve for x
    x = 60,942,344,588.58/315,709.92
  6. Step 6: Final answer
    x = 193,032.72

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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.