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Finding the Fourth Proportional to 313,476.84, 432,730.50 and 211,640.25

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Solution

The fourth proportional to 313,476.84, 432,730.50 and 211,640.25 is: 292,152.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,476.84 : 432,730.50 = 211,640.25 : x
  2. Step 2: Convert to fraction form
    313,476.84/432,730.50 = 211,640.25/x
  3. Step 3: Cross multiply
    313,476.84x = 432,730.50 × 211,640.25
  4. Step 4: Simplify right side
    313,476.84x = 91,583,191,202.63
  5. Step 5: Solve for x
    x = 91,583,191,202.63/313,476.84
  6. Step 6: Final answer
    x = 292,152.97

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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.