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Finding the Fourth Proportional to 253,547.84, 380,381.76 and 82,768.65

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Solution

The fourth proportional to 253,547.84, 380,381.76 and 82,768.65 is: 124,172.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,547.84 : 380,381.76 = 82,768.65 : x
  2. Step 2: Convert to fraction form
    253,547.84/380,381.76 = 82,768.65/x
  3. Step 3: Cross multiply
    253,547.84x = 380,381.76 × 82,768.65
  4. Step 4: Simplify right side
    253,547.84x = 31,483,684,759.82
  5. Step 5: Solve for x
    x = 31,483,684,759.82/253,547.84
  6. Step 6: Final answer
    x = 124,172.56

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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.