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Finding the Fourth Proportional to 315,173.92, 472,402.52 and 277,148.67

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Solution

The fourth proportional to 315,173.92, 472,402.52 and 277,148.67 is: 415,407.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,173.92 : 472,402.52 = 277,148.67 : x
  2. Step 2: Convert to fraction form
    315,173.92/472,402.52 = 277,148.67/x
  3. Step 3: Cross multiply
    315,173.92x = 472,402.52 × 277,148.67
  4. Step 4: Simplify right side
    315,173.92x = 130,925,730,122.65
  5. Step 5: Solve for x
    x = 130,925,730,122.65/315,173.92
  6. Step 6: Final answer
    x = 415,407.89

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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.