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Finding the Fourth Proportional to 255,471.84, 382,813.56 and 161,780.76

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Solution

The fourth proportional to 255,471.84, 382,813.56 and 161,780.76 is: 242,421.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,471.84 : 382,813.56 = 161,780.76 : x
  2. Step 2: Convert to fraction form
    255,471.84/382,813.56 = 161,780.76/x
  3. Step 3: Cross multiply
    255,471.84x = 382,813.56 × 161,780.76
  4. Step 4: Simplify right side
    255,471.84x = 61,931,868,675.11
  5. Step 5: Solve for x
    x = 61,931,868,675.11/255,471.84
  6. Step 6: Final answer
    x = 242,421.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.