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Finding the Fourth Proportional to 285,364.84, 428,052.12 and 107,955.40

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Solution

The fourth proportional to 285,364.84, 428,052.12 and 107,955.40 is: 161,934.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,364.84 : 428,052.12 = 107,955.40 : x
  2. Step 2: Convert to fraction form
    285,364.84/428,052.12 = 107,955.40/x
  3. Step 3: Cross multiply
    285,364.84x = 428,052.12 × 107,955.40
  4. Step 4: Simplify right side
    285,364.84x = 46,210,537,835.45
  5. Step 5: Solve for x
    x = 46,210,537,835.45/285,364.84
  6. Step 6: Final answer
    x = 161,934.94

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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.