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Finding the Fourth Proportional to 315,330.36, 472,982.28 and 146,792.76

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Solution

The fourth proportional to 315,330.36, 472,982.28 and 146,792.76 is: 220,182.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,330.36 : 472,982.28 = 146,792.76 : x
  2. Step 2: Convert to fraction form
    315,330.36/472,982.28 = 146,792.76/x
  3. Step 3: Cross multiply
    315,330.36x = 472,982.28 × 146,792.76
  4. Step 4: Simplify right side
    315,330.36x = 69,430,374,312.29
  5. Step 5: Solve for x
    x = 69,430,374,312.29/315,330.36
  6. Step 6: Final answer
    x = 220,182.97

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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.