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Finding the Fourth Proportional to 313,477.47, 432,731.35 and 211,640.88

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Solution

The fourth proportional to 313,477.47, 432,731.35 and 211,640.88 is: 292,153.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,477.47 : 432,731.35 = 211,640.88 : x
  2. Step 2: Convert to fraction form
    313,477.47/432,731.35 = 211,640.88/x
  3. Step 3: Cross multiply
    313,477.47x = 432,731.35 × 211,640.88
  4. Step 4: Simplify right side
    313,477.47x = 91,583,645,604.88
  5. Step 5: Solve for x
    x = 91,583,645,604.88/313,477.47
  6. Step 6: Final answer
    x = 292,153.84

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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.