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Finding the Fourth Proportional to 378,071.76, 521,734.88 and 216,952.16

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Solution

The fourth proportional to 378,071.76, 521,734.88 and 216,952.16 is: 299,391.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,071.76 : 521,734.88 = 216,952.16 : x
  2. Step 2: Convert to fraction form
    378,071.76/521,734.88 = 216,952.16/x
  3. Step 3: Cross multiply
    378,071.76x = 521,734.88 × 216,952.16
  4. Step 4: Simplify right side
    378,071.76x = 113,191,509,163.34
  5. Step 5: Solve for x
    x = 113,191,509,163.34/378,071.76
  6. Step 6: Final answer
    x = 299,391.60

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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.