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Finding the Fourth Proportional to 312,792, 432,009.42 and 212,015.04

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Solution

The fourth proportional to 312,792, 432,009.42 and 212,015.04 is: 292,822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,792 : 432,009.42 = 212,015.04 : x
  2. Step 2: Convert to fraction form
    312,792/432,009.42 = 212,015.04/x
  3. Step 3: Cross multiply
    312,792x = 432,009.42 × 212,015.04
  4. Step 4: Simplify right side
    312,792x = 91,592,494,461.68
  5. Step 5: Solve for x
    x = 91,592,494,461.68/312,792
  6. Step 6: Final answer
    x = 292,822.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.