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Finding the Fourth Proportional to 382,300.50, 527,575.32 and 212,534.63

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Solution

The fourth proportional to 382,300.50, 527,575.32 and 212,534.63 is: 293,298.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,300.50 : 527,575.32 = 212,534.63 : x
  2. Step 2: Convert to fraction form
    382,300.50/527,575.32 = 212,534.63/x
  3. Step 3: Cross multiply
    382,300.50x = 527,575.32 × 212,534.63
  4. Step 4: Simplify right side
    382,300.50x = 112,128,022,795.46
  5. Step 5: Solve for x
    x = 112,128,022,795.46/382,300.50
  6. Step 6: Final answer
    x = 293,298.13

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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.